The Rational Roots Theorem Answers

Which numbers are roots of the polynomial function shown? Check all that apply.

Complete the steps to factor the polynomial by grouping.P(x) = x3 + 5x2 – x – 5P(x) = x2 (x + ) – (x + 5)P(x) = (x2 – )(x + 5)P(x) = (x – )(x + 1)(x + )

Use the factorization to find the values of x for which P(x) = 0.(x – 1)(x + 1)(x + 5) = 0x – 1 = 0, so x = x + 1 = 0, so x = x + 5 = 0, so x =

P(x) = x3 – 2x2 – 13x – 10One root of the polynomial above is 5. Use synthetic division to factor out x – 5.5 Enter the values for a, b, and c in the factored form.P(x) = (x – 5)(ax2 + bx + c)a = b = c =

Select all the roots of the polynomial function.