Synthetic Division and the Remainder Theorem Answers

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

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).

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

Complete the division. The remainder is 0.The quotient is x² - x - 12-x² + x + 1212x² - x - 112x² + x + 1.