Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
1st Edition
ISBN: 9781680331165
Author: HOUGHTON MIFFLIN HARCOURT
Publisher: Houghton Mifflin Harcourt
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Chapter 4.8, Problem 21E
To determine

To find: all real zeros of the function.

Expert Solution & Answer
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Answer to Problem 21E

The zeros are x=3,x=34 and x=4 .

Explanation of Solution

Given information:

Given function,

  g(x)=4x3+x251x+36

Calculation:

Consider the function g(x)=4x3+x251x+36 :

Input function using key 4X3+Xx251X+36 .

  Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 4.8, Problem 21E , additional homework tip  1

Now press 2ndGRAPH to get table:

  Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015, Chapter 4.8, Problem 21E , additional homework tip  2

Use the location principle.

From the table g(2)<0 and g(4)>0 . So, by location principle function has a zero between 2 and 4.

Because function is polynomial of degree 3, so it has three zeros.

The only possible rational zero between 2 and 4 is 3.

For x=3 ,

  3415136123936413120

So, one factor is x3 and other is 4x2+12x12 .

Writing as a product of factors,

  g(x)=4x3+x251x+36=(x3)(4x2+13x12)=(x3)(x+4)(4x3)

Therefore, the zeros are x=3,x=34 and x=4 .

Chapter 4 Solutions

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

Ch. 4.1 - Prob. 11ECh. 4.1 - Prob. 12ECh. 4.1 - Prob. 13ECh. 4.1 - Prob. 14ECh. 4.1 - Prob. 15ECh. 4.1 - Prob. 16ECh. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - Prob. 19ECh. 4.1 - Prob. 20ECh. 4.1 - Prob. 21ECh. 4.1 - Prob. 22ECh. 4.1 - Prob. 23ECh. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - Prob. 26ECh. 4.1 - Prob. 27ECh. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - Prob. 30ECh. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - Prob. 33ECh. 4.1 - Prob. 34ECh. 4.1 - Prob. 35ECh. 4.1 - Prob. 36ECh. 4.1 - Prob. 37ECh. 4.1 - Prob. 38ECh. 4.1 - Prob. 39ECh. 4.1 - Prob. 40ECh. 4.1 - Prob. 41ECh. 4.1 - Prob. 42ECh. 4.1 - Prob. 43ECh. 4.1 - Prob. 44ECh. 4.1 - Prob. 45ECh. 4.1 - Prob. 46ECh. 4.1 - Prob. 47ECh. 4.1 - Prob. 48ECh. 4.1 - Prob. 49ECh. 4.1 - Prob. 50ECh. 4.1 - Prob. 51ECh. 4.1 - Prob. 52ECh. 4.1 - Prob. 53ECh. 4.1 - Prob. 54ECh. 4.1 - Prob. 55ECh. 4.1 - Prob. 56ECh. 4.2 - Prob. 1ECh. 4.2 - Prob. 2ECh. 4.2 - Prob. 3ECh. 4.2 - Prob. 4ECh. 4.2 - Prob. 5ECh. 4.2 - Prob. 6ECh. 4.2 - Prob. 7ECh. 4.2 - 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