Synthetic Division and the Remainder Theorem

Question 1

Identify all of the roots of the function.f(x) = x3 – 5x2 – 2x + 24

Revolt · Accepted Answer

–2; 3; 4

Question 2

The result of dividing (x3 + x2 – 22x – 40) by (x – 5) is x2 + 6x + 8. Select all of the factor(s) of x2 + 6x + 8.

Revolt · Accepted Answer

(x + 4); (x + 2)

Question 3

Compare the values you entered above.f (–2) is the remainder when dividing the polynomial by x + 2.

Revolt · Accepted Answer

equal to

Question 4

Complete the division. The remainder is 0.The quotient is .

Revolt · Accepted Answer

x² - x - 12

Question 5

Complete the steps to factor the polynomial.One root of f(x) = x³ + x² - 22x - 40 is 5. If 5 is a root of the function, then is a factor.

Revolt · Accepted Answer

x - 5

Question 6

The completely factored form of the polynomial is f(x) = .

Revolt · Accepted Answer

(x – 5)(x + 2)(x + 4)

Synthetic Division and the Remainder Theorem Answers