Answers Summer_Advanced AlgebraSynthetic Division and the Remainder Theorem

Synthetic Division and the Remainder Theorem Answers

6 verified answers

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

–2

–3

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.

-5

x - 5

+ 5

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.

(x – 4)

(x + 4)

(x – 2)

(x + 2)

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

less than

equal to

greater than

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)

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

x² - x - 12

-x² + x + 12

12x² - x - 1

12x² + x + 1

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