The Rational Roots Theorem

Question 1

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

Revolt · Accepted Answer

A: ±6; C: ±1; E: ±3

Question 2

Using the section of the graph shown, which of these potential roots of the function should you test first?f(x) = 2x3 – 9x2 – 6x + 40

Revolt · Accepted Answer

PENDING

Question 3

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

A: ; C: ; D: 1

Question 4

0±2±4 ±9±3±6 ±12

Revolt · Accepted Answer

B: ±2; C: ±4; F: ±3; G: ±6; H: ±12

Question 5

Evaluate the function for the given values to determine if the value is a root.

Revolt · Accepted Answer

: 0; : -16

Question 6

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

Revolt · Accepted Answer

: 0; : -16

Question 7

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

Revolt · Accepted Answer

D: ✔ Yes.

Question 8

–10 –7–531524

Revolt · Accepted Answer

A: –10; C: –5; D: 3; E: 15

Question 9

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

: answer; : answer; : answer; : answer

Question 10

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

Revolt · Accepted Answer

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

The Rational Roots Theorem Answers

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