Factoring Polynomials Completely

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 completely factored form of the polynomial is f(x) = (x – 5)(x – 2)(x – 4)(x – 5)(x + 2)(x + 4)(x – 5)(x2 + 6x + 8).

Revolt · Accepted Answer

(x – 5)(x + 2)(x + 4)

Question 3

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

Revolt · Accepted Answer

x² - x - 12

Question 4

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 5

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

Revolt · Accepted Answer

equal to

Factoring Polynomials Completely Answers