Synthetic Division and the Remainder Theorem

Question 1

Identify the polynomial divisor, dividend, and quotient represented by the synthetic division. Divisor:

Revolt · Accepted Answer

x + 3

Question 2

Dividend:

Revolt · Accepted Answer

2x3 + 11x2 + 18x + 9

Question 3

Quotient:

Revolt · Accepted Answer

2x2 + 5x + 3

Question 4

Use synthetic division to find the expression for the area of the base of a rectangular prism with height x + 4 and volume x3 + 2x2 – 17x – 36.

Revolt · Accepted Answer

x2 – 2x – 9

Question 5

Find the quotient.(2x4 – 3x3 – 6x2 + 11x + 8) ÷ (x – 2)

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/3111-06-03-20-03-task/mc001-2.jpg

Question 6

Select all of the factors of x3 + 5x2 + 2x – 8.

Revolt · Accepted Answer

x + 4; x – 1; x + 2

Question 7

Select all of the roots of x3 + 2x2 – 16x– 32.

Revolt · Accepted Answer

–2; –4; 4

Question 8

The price received for a bicycle is given by the equation b = 100 – 10x2, where x is the number of bicycles produced, in millions.It costs the company $60 to make each bicycle.What is the profit function for the company?

Revolt · Accepted Answer

P = –10x3 + 40x

Question 9

Find the quotient.(5x4 – 3x2 + 4) ÷ (x + 1)

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/3111-06-03-20-03-task/mc002-1.jpg

Question 10

Which of the following facts did you include in your explanation? Select all that apply.

Revolt · Accepted Answer

Identify the factor x + 3 from the given root –3.; Use synthetic division to divide the polynomial by x + 3.; Use the bottom row of the synthetic division as coefficients in the quadratic 2x2 + 3x – 2.; Factor the quotient to find the two other factors: x + 2 and 2x – 1.

Synthetic Division and the Remainder Theorem Answers

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