The Rational Roots Theorem

Question 1

Question 1

Revolt · Accepted Answer

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

Question 2

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

Revolt · Accepted Answer

No, this polynomial has complex roots.

Question 3

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

Revolt · Accepted Answer

No, this polynomial has irrational roots.

Question 4

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

Revolt · Accepted Answer

3; 4

Question 5

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

Revolt · Accepted Answer

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

Question 6

–10 –7–531524

Revolt · Accepted Answer

–10; –5; 3; 15

Question 7

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

Revolt · Accepted Answer

No. The only real solution is x = 4. It is not possible to cut squares of this size.

Question 8

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

Revolt · Accepted Answer

-5; 1; -12

The Rational Roots Theorem Answers