a. Polynomial: Polynomial is actually an algebraic expression with one or more variables and is increased by a co-efficient value. Poly means many and nominal means terms. Hence polynomial means many terms. To find out the corresponding decimal values, the positional notation of a polynomial expression can be used. The polynomial formula or the positional notation of a polynomial expression is as given below: d n * R n-1 + d n-1 * R n-2+ . . . + d2 * R + d1 From the above equation, “d” represents digit in the ith position of a number. “R” represents base of a number. “n” represents number of digits.

Question

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Answer 1

Question

Chapter 2, Problem 22E

Program Plan Intro

a.

Polynomial:

Polynomial is actually an algebraic expression with one or more variables and is increased by a co-efficient value.

Poly means many and nominal means terms. Hence polynomial means many terms.

To find out the corresponding decimal values, the positional notation of a polynomial expression can be used.

The polynomial formula or the positional notation of a polynomial expression is as given below:

d n * R n-1 + d n-1 * R n-2+ . . . + d2 * R + d1

From the above equation,

“d” represents digit in the ith position of a number.

“R” represents base of a number.

“n” represents number of digits.

Explanation of Solution

b.

Polynomial expression for number 891 in base 8:

Base 8 has 8 digits from 0 to 7.

As “9” in the numbe...

Explanation of Solution

c.

Polynomial expression for number 891 in base 12:

The polynomial expression for the number 891 in base 12 is:

**812² + 912¹ + 1*12⁰**

As the power is from 0 to 2, n is 3 and r is 12...

Explanation of Solution

d.

Polynomial expression for number 891 in base 13:

The polynomial expression for the number 891 to the base 13 is:

**813²+913¹+1*13⁰**

As the power is from 0 to 2, n = 3 and r = 13...

Explanation of Solution

e.

Polynomial expression for number 891 in base 16:

The polynomial expression for the number 891 to the base 16 is:

**816²+916¹+1*16⁰**

As the power is from 0 to 2, hence n = 3 and r = 16...

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Answer 2

Question

Chapter 2, Problem 22E

Program Plan Intro

a.

Polynomial:

Polynomial is actually an algebraic expression with one or more variables and is increased by a co-efficient value.

Poly means many and nominal means terms. Hence polynomial means many terms.

To find out the corresponding decimal values, the positional notation of a polynomial expression can be used.

The polynomial formula or the positional notation of a polynomial expression is as given below:

d n * R n-1 + d n-1 * R n-2+ . . . + d2 * R + d1

From the above equation,

“d” represents digit in the ith position of a number.

“R” represents base of a number.

“n” represents number of digits.

Explanation of Solution

b.

Polynomial expression for number 891 in base 8:

Base 8 has 8 digits from 0 to 7.

As “9” in the numbe...

Explanation of Solution

c.

Polynomial expression for number 891 in base 12:

The polynomial expression for the number 891 in base 12 is:

**812² + 912¹ + 1*12⁰**

As the power is from 0 to 2, n is 3 and r is 12...

Explanation of Solution

d.

Polynomial expression for number 891 in base 13:

The polynomial expression for the number 891 to the base 13 is:

**813²+913¹+1*13⁰**

As the power is from 0 to 2, n = 3 and r = 13...

Explanation of Solution

e.

Polynomial expression for number 891 in base 16:

The polynomial expression for the number 891 to the base 16 is:

**816²+916¹+1*16⁰**

As the power is from 0 to 2, hence n = 3 and r = 16...

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 3

Question

Chapter 2, Problem 22E

Program Plan Intro

a.

Polynomial:

Polynomial is actually an algebraic expression with one or more variables and is increased by a co-efficient value.

Poly means many and nominal means terms. Hence polynomial means many terms.

To find out the corresponding decimal values, the positional notation of a polynomial expression can be used.

The polynomial formula or the positional notation of a polynomial expression is as given below:

d n * R n-1 + d n-1 * R n-2+ . . . + d2 * R + d1

From the above equation,

“d” represents digit in the ith position of a number.

“R” represents base of a number.

“n” represents number of digits.

Explanation of Solution

b.

Polynomial expression for number 891 in base 8:

Base 8 has 8 digits from 0 to 7.

As “9” in the numbe...

Explanation of Solution

c.

Polynomial expression for number 891 in base 12:

The polynomial expression for the number 891 in base 12 is:

**812² + 912¹ + 1*12⁰**

As the power is from 0 to 2, n is 3 and r is 12...

Explanation of Solution

d.

Polynomial expression for number 891 in base 13:

The polynomial expression for the number 891 to the base 13 is:

**813²+913¹+1*13⁰**

As the power is from 0 to 2, n = 3 and r = 13...

Explanation of Solution

e.

Polynomial expression for number 891 in base 16:

The polynomial expression for the number 891 to the base 16 is:

**816²+916¹+1*16⁰**

As the power is from 0 to 2, hence n = 3 and r = 16...

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 2, Problem 22E

Program Plan Intro

a.

Polynomial:

Polynomial is actually an algebraic expression with one or more variables and is increased by a co-efficient value.

Poly means many and nominal means terms. Hence polynomial means many terms.

To find out the corresponding decimal values, the positional notation of a polynomial expression can be used.

The polynomial formula or the positional notation of a polynomial expression is as given below:

d n * R n-1 + d n-1 * R n-2+ . . . + d2 * R + d1

From the above equation,

“d” represents digit in the ith position of a number.

“R” represents base of a number.

“n” represents number of digits.

Explanation of Solution

b.

Polynomial expression for number 891 in base 8:

Base 8 has 8 digits from 0 to 7.

As “9” in the numbe...

Explanation of Solution

c.

Polynomial expression for number 891 in base 12:

The polynomial expression for the number 891 in base 12 is:

**812² + 912¹ + 1*12⁰**

As the power is from 0 to 2, n is 3 and r is 12...

Explanation of Solution

d.

Polynomial expression for number 891 in base 13:

The polynomial expression for the number 891 to the base 13 is:

**813²+913¹+1*13⁰**

As the power is from 0 to 2, n = 3 and r = 13...

Explanation of Solution

e.

Polynomial expression for number 891 in base 16:

The polynomial expression for the number 891 to the base 16 is:

**816²+916¹+1*16⁰**

As the power is from 0 to 2, hence n = 3 and r = 16...

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 2, Problem 22E

Program Plan Intro

a.

Polynomial:

Polynomial is actually an algebraic expression with one or more variables and is increased by a co-efficient value.

Poly means many and nominal means terms. Hence polynomial means many terms.

To find out the corresponding decimal values, the positional notation of a polynomial expression can be used.

The polynomial formula or the positional notation of a polynomial expression is as given below:

d n * R n-1 + d n-1 * R n-2+ . . . + d2 * R + d1

From the above equation,

“d” represents digit in the ith position of a number.

“R” represents base of a number.

“n” represents number of digits.

Explanation of Solution

b.

Polynomial expression for number 891 in base 8:

Base 8 has 8 digits from 0 to 7.

As “9” in the numbe...

Explanation of Solution

c.

Polynomial expression for number 891 in base 12:

The polynomial expression for the number 891 in base 12 is:

**812² + 912¹ + 1*12⁰**

As the power is from 0 to 2, n is 3 and r is 12...

Explanation of Solution

d.

Polynomial expression for number 891 in base 13:

The polynomial expression for the number 891 to the base 13 is:

**813²+913¹+1*13⁰**

As the power is from 0 to 2, n = 3 and r = 13...

Explanation of Solution

e.

Polynomial expression for number 891 in base 16:

The polynomial expression for the number 891 to the base 16 is:

**816²+916¹+1*16⁰**

As the power is from 0 to 2, hence n = 3 and r = 16...

Answer 6

Chapter 2, Problem 22E

Program Plan Intro

a.

Polynomial:

Polynomial is actually an algebraic expression with one or more variables and is increased by a co-efficient value.

Poly means many and nominal means terms. Hence polynomial means many terms.

To find out the corresponding decimal values, the positional notation of a polynomial expression can be used.

The polynomial formula or the positional notation of a polynomial expression is as given below:

d n * R n-1 + d n-1 * R n-2+ . . . + d2 * R + d1

From the above equation,

“d” represents digit in the ith position of a number.

“R” represents base of a number.

“n” represents number of digits.

Answer 7

Chapter 2, Problem 22E

Program Plan Intro

a.

Polynomial:

Polynomial is actually an algebraic expression with one or more variables and is increased by a co-efficient value.

Poly means many and nominal means terms. Hence polynomial means many terms.

To find out the corresponding decimal values, the positional notation of a polynomial expression can be used.

The polynomial formula or the positional notation of a polynomial expression is as given below:

d n * R n-1 + d n-1 * R n-2+ . . . + d2 * R + d1

From the above equation,

“d” represents digit in the ith position of a number.

“R” represents base of a number.

“n” represents number of digits.

Answer 8

Explanation of Solution

b.

Polynomial expression for number 891 in base 8:

Base 8 has 8 digits from 0 to 7.

As “9” in the numbe...

Answer 9

Explanation of Solution

b.

Polynomial expression for number 891 in base 8:

Base 8 has 8 digits from 0 to 7.

As “9” in the numbe...

Answer 10

Explanation of Solution

c.

Polynomial expression for number 891 in base 12:

The polynomial expression for the number 891 in base 12 is:

**812² + 912¹ + 1*12⁰**

As the power is from 0 to 2, n is 3 and r is 12...

Answer 11

Explanation of Solution

c.

Polynomial expression for number 891 in base 12:

The polynomial expression for the number 891 in base 12 is:

**812² + 912¹ + 1*12⁰**

As the power is from 0 to 2, n is 3 and r is 12...

Answer 12

Explanation of Solution

d.

Polynomial expression for number 891 in base 13:

The polynomial expression for the number 891 to the base 13 is:

**813²+913¹+1*13⁰**

As the power is from 0 to 2, n = 3 and r = 13...

Answer 13

Explanation of Solution

d.

Polynomial expression for number 891 in base 13:

The polynomial expression for the number 891 to the base 13 is:

**813²+913¹+1*13⁰**

As the power is from 0 to 2, n = 3 and r = 13...

Answer 14

Explanation of Solution

e.

Polynomial expression for number 891 in base 16:

The polynomial expression for the number 891 to the base 16 is:

**816²+916¹+1*16⁰**

As the power is from 0 to 2, hence n = 3 and r = 16...

Answer 15

Explanation of Solution

e.

Polynomial expression for number 891 in base 16:

The polynomial expression for the number 891 to the base 16 is:

**816²+916¹+1*16⁰**

As the power is from 0 to 2, hence n = 3 and r = 16...

Answer 16

Expert Solution & Answer

Answer 17

Expert Solution & Answer

Answer 18

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See solution

Answer 19

Ch. 2 - Prob. 1E Ch. 2 - Prob. 2E Ch. 2 - Prob. 3E Ch. 2 - Prob. 4E Ch. 2 - Prob. 5E Ch. 2 - Prob. 6E Ch. 2 - Prob. 7E Ch. 2 - Prob. 8E Ch. 2 - Prob. 9E Ch. 2 - Prob. 10E

Explanation of Solution

b. Polynomial expression for number 891 in base 8: Base 8 has 8 digits from 0 to 7. As “9” in the numbe...

Explanation of Solution

c. Polynomial expression for number 891 in base 12: The polynomial expression for the number 891 in base 12 is: 8*122 + 9*121 + 1*120 As the power is from 0 to 2, n is 3 and r is 12...

Explanation of Solution

d. Polynomial expression for number 891 in base 13: The polynomial expression for the number 891 to the base 13 is: 8*132+9*131+1*130 As the power is from 0 to 2, n = 3 and r = 13...

Explanation of Solution

e. Polynomial expression for number 891 in base 16: The polynomial expression for the number 891 to the base 16 is: 8*162+9*161+1*160 As the power is from 0 to 2, hence n = 3 and r = 16...

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Chapter 2 Solutions

b.

Polynomial expression for number 891 in base 8:

Base 8 has 8 digits from 0 to 7.

As “9” in the numbe...

c.

Polynomial expression for number 891 in base 12:

The polynomial expression for the number 891 in base 12 is:

**812² + 912¹ + 1*12⁰**

As the power is from 0 to 2, n is 3 and r is 12...

d.

Polynomial expression for number 891 in base 13:

The polynomial expression for the number 891 to the base 13 is:

**813²+913¹+1*13⁰**

As the power is from 0 to 2, n = 3 and r = 13...

e.

Polynomial expression for number 891 in base 16:

The polynomial expression for the number 891 to the base 16 is:

**816²+916¹+1*16⁰**

As the power is from 0 to 2, hence n = 3 and r = 16...