The Rational Roots Theorem Answers

Complete the steps to identify all potential rational roots of f(x) = 3x2 – x – 4.Values of p are factors of .

Values of q are factors of .

In completely factored form, f(x) = .

Select all of the potential roots.

Check all of the numbers that are potential rational roots of f(x) = x4 – 2x3 + 5x2 – 7x + 9.

The graph of f(x) = 2x3 +x2 – 4x – 2 is shown.How many of the roots of f(x) are rational?

a potential root, but not a root✔ definitely a rootX definitely not a root of the polynomial.

Which of the values shown are potential roots of f(x) = 3x3 – 13x2 – 3x + 45? Select all that apply.

Complete the steps to solve the polynomial equation x3 – 21x = –20.According to the rational root theorem, which number is a potential root of the polynomial?

Use the synthetic division shown to help factor the polynomial and solve the equation. What are the solutions of the equation?

Complete the statement with the choice that best describes the relationship between the polynomial and its rational zeroes.A polynomial, P, has a leading coefficient of 1 and a constant term. The rational roots of P are all factors of the leading coefficient✔ factors of the constant termmultiples of the constant term.

If x = 1 2 , then x − 1 2 = 0. This is the same as = 0.