The Rational Roots Theorem

Question 1

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.

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-06-04-20-03-task/mr001-1.jpg; Answer image: //media.edgenuity.com/EVresources/3111-06-04-20-03-task/mr001-3.jpg; 1

Question 2

0±2±4 ±9±3±6 ±12

Revolt · Accepted Answer

±2; ±4; ±3; ±6; ±12

Question 3

Select all of the following that are potential roots of p(x) = x4 − 9x2 − 4x + 12?

Revolt · Accepted Answer

0; -16

Question 4

Question 4

Revolt · Accepted Answer

-16

Question 5

–16✔ –202

Revolt · Accepted Answer

✔ –2

Question 6

Question 6

Revolt · Accepted Answer

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

Question 7

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

Question 8

✔ 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 9

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 10

–10 –7–531524

Revolt · Accepted Answer

–10; –5; 3; 15

The Rational Roots Theorem Answers

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