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

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

–16–202

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

Question text not available

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

p(−2) = [___]

Question text not available

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

Use synthetic division to test one potential root. Enter the numbers that complete the division problem.

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?

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

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