The Rational Roots Theorem Answers

Which of the number(s) below are potential roots of the function?p(x) = x4 + 22x2 – 16x – 12

Which of the number(s) below are potential roots of the function?q(x) = 6x3 + 19x2 – 15x – 28

–16–202

a = [___] b = [___] c = [___] d = [___]

a = [___] b = [___] c = [___] d = [___]

Which of the numbers below are some potential roots of p(x) = x3 + 6x2 − 7x − 60 according to the rational root theorem?

Write the polynomial in factored form. p(x) = (x + 5)(x − [___])(x + [___])

According to the rational root theorem, the numbers below are some of the potential roots of f(x) = 10x3 + 29x2 – 66x + 27. Select all that are actual roots.

0±2±4 ±9±3±6 ±12

No, this polynomial has complex roots.No, this polynomial has irrational roots.No, this polynomial has irrational and complex roots.Yes.

–10 –7–531524

Find all real solutions of this equation to answer the question.(6 – 2x)(3 – 2x)x = 40

Yuri thinks that is a root of the following function.q(x) = 6x3 + 19x2 – 15x – 28Explain to Yuri why cannot be a root.

p(−2) = [___]

No, this polynomial has complex roots.No, this polynomial has irrational roots.No, this polynomial has irrational and complex roots.Yes.

Which of the numbers below are some potential roots of p(x) = x3 + 6x2 − 7x − 60 according to the rational root theorem?

p(2) = [___]

No, this polynomial has complex roots.No, this polynomial has irrational roots.No, this polynomial has irrational and complex roots.Yes.

a = [___] b = [___] c = [___] d = [___]