The Rational Roots Theorem Answers

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

Select all the roots of the polynomial function.

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 =