To show that x = -3 is a solution of the given equation, divide f(x) = x -37x - 84 by (x + 3) using synthetic division. Because the divisor is (x +3), we perform synthetic division with k = -3. Note that a zero is included for the missing x2-term in the dividend. Now use the synthetic division pattern by adding terms in columns and multiplying the results by -3, and examining the remainder. -3 1 -37 -84 -3 9. 1 -3

Q: Find the quotient and remainder using synthetic division.

A: 6x4+10x3+5x2+x+1x+23

Q: If x4 −2x3 −12x2 +10x+ 3 = 0 has the roots 1 and −3,

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Q: Use the long division method to find the result when 4x³ – 26x² + 13x – 6 is r(x) divided by x – 6.…

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Q: If  x3 + 7x - a has a remainder of 1 when divided by x+1 then a has a value of __?

A: Please refer the attached image for complete solution.

Q: Use synthetic division to show that 5 is a solution of x4 - 4x3 - 9x2 + 16x + 20 = 0. Then solve the…

A: Coefficients of x4 - 4x3 - 9x2 + 16x + 20 are 1, -4, -9, 16, 20  Then we use the synthetic division.…

Q: Solve the problem using synthetic division. Determine if x-k is or is not a factor.

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Q: To divide 2x 5x +1 by x + 3 using synthetic division, the first step is to write -

A: To divide 2x3-5x+1 by x+3 using synthetic division

Q: 4. If x=-4 and x=1 are the roots of x* + 3x' - 3x +3x – 4 = 0, find the other two roots of the…

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Q: Solve the problem. Use synthetic division to divide  (5x^4 - 2x^3 + x -5) by (x -4).

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Q: Find the quotient and the remainder by using synthetic division. (x5 – 2x2 + 3) ÷ (x-1)

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Q: Use synthetic division to factor the polynomial x^3-4x^2-7x+10 completely if -2 is a zero

A: We have to use synthetic division to factor the polynomial x3-4x2-7x+10 completely if -2 is a zero

Q: Use the long division method to find the result when 3x³ + 10x² – 3x – 13 is divided by 3x+ 10. If…

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Q: To divide x + 5x² – 7x + 1 by x – 4 using synthetic division, the first step is to write

A: Given: To divide x3+5x2-7x+1 by x-4 first step to write

Q: Use synthetic division to show that x + 3 is a factor of                         2x5 + 5x4 - 2x3 +…

A: To show that, x+3 is a factor of 2x5+5x4-2x3+2x2-2x+3

Q: Use synthetic division to find the quotient and remainder when: 0.1x2 - 0.2 is divided by x + 2.1

A: Use synthetic division to find the quotient and remainder when: 0.1x2 - 0.2 is divided by x + 2.1

Q: For the remainder of the division of x-2x²+3kx+18 by x-6 to be equal to zero, k must be equal to?

A:

Q: Find the quotient and remainder using long division. −x^3+3x^2−6x−10  over x^2−x−3

A: By applying the polynomial long division method,

Q: Find the quotient and remainder using long division for: x2+6x+15/ x+3

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Q: Use synthetic division to divide x° + 2x – 29x – 26 by x – 5 The quotient is: x2 + 7x + 6 The…

A: To divide the given expression by using synthetic division.

Q: 11. If f(x) = -3x2 - 4x + 1, use synthetic division to evaluate f(4)

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: a) Use synthetic division to find the quotient and remainder when x4  4x2  2x  5 isdivided by x …

A: To find the quotient and remainder when a polynomial is divided by another polynomial using…

Q: use synthetic division to determine the quotient and remainder. (x3 - 5x2 + 2x + 8) ÷ (x + 1)

A: x3-5x2+2x+8x+1

Q: Use synthetic division to find the quotient and remainder when: 0.1x3 + 0.2x is divided by x + 1.1

A: STEP 1: Write the coefficients of the terms in the dividend as a row in the descending powers of x.…

Q: Use the long division method to find the result when 12x- x2-8x - 16 is divided by 3x- 4. .......…

A: We will use long division method to find remainder when 12x3-x2-8x-16 by 3x-4

Q: Use synthetic division to find the quotient and the remainder. (x³ – 2x² – 9) - (x+ 2)

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Q: Find one solution of 2x3 + 5x2 - 4x - 3 = 0graphically, and use synthetic division to find…

A: Given that the cubic equation is 2x3 + 5x2 - 4x - 3 = 0 To find the solution of given equation:- To…

Q: if the equation is x^3-5x^2+4x-20 and I've been given the zero: -2i couldn't I just factor the…

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Q: Is x+ 4 a factor of f(x) = x5 + 10x4 + 29x3 – 28x2 (Use Synthetic Division in conjunction with the…

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Q: Obtain the roots of the following equation using the method of double synthetic division:

A: Since the coefficient and constants are not integers, so we have to find one solution using the…

Q: Find the remainder when: 3x3-2x2-4x+1 is divided by (x-2); and (x +3) When 3x -2x-4x + 1 is divided…

A: remainder is (9) remainder is (- 86)

Q: Use the synthetic or long division method to find the quotient Q(x) and remainder R(x) 3x²–12x²-9x+1…

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Q: Use the long division method to find the result when 3x + 3x2 +x + 14 is divided by x +2. Answer:…

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Q: Use synthetic division to divide the first polynomial by the second. 5x* - 14x° + 9x2 – 3x +2 x-2

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Q: Calculate the following equation by long division and also by synthetic division: (2x4 – 11x +7) ÷…

A: the solution of the given problem by long division and synthetic division is given below...

Q: Use synthetic division to solve 102 X+3 O 2x²-2x-29+- O 2x²-2x-29+102 O 2x³+10x²-5x O 2x²+10x-5…

A: We can find the answer in the below steps to find the correct answer.

Q: In using the synthetic division method to divide (3x5 -2x4 + 2x2 -3x + 5) by (x+4), the order for…

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Q: Find the quotient and remainder using synthetic division. 2x2 – 3x + 2 - X - 2

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Q: To divide x3 + 5x2 - 7x + 1 by x - 4 using synthetic division, the first step is to write   __l__ __…

A: Synthetic division - x-4 ) x3+5x2-7x+1 ( x2+9x+29          x3-4x2         -  +…

Q: Find the quotient and remainder using long division for x3 + 4x2 + 10x + 13 x + 2

A:

Q: Find the quotient and remainder using synthetic division.

A: Given,

Q: Use synthetic division to find all the factors of x + 6x – 9x – 54 if one of the factors is x - 3.

A:

Q: Use synthetic division to find the quotient and remainder when x4 -4x2 + 2x + 5 is divided by x -2.

A: Given polynomial expression:                                                x4-4x2 +2x +5 and test…

Q: Use synthetic division to divide (5x^4 - 2x^3 + x - 4) by (x -2)

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Q: Find the quotient and remainder using long division.  x^3+6x+3/ x^2 -2x+2

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Q: Find the quotient of the polynomials using LONG DIVISION. Show your solution. (5x3 + 3x – 8) ÷ ( x…

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Q: Find the quotient and remainder using synthetic division. x4-2x³ +23x2- 120x – 11 x-4

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Q: Use synthetic division to find the result when x + 2x2-11a + 24 is divided by x +5. If there is a…

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Q: Find the quotient and remainder using synthetic division.  x^3 + 2x^2 +2x+1/ x+2

A: