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

±6; ±1; ±3

Question 2

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

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-06-04-20-01-task/mr002-1.jpg; Answer image: //media.edgenuity.com/EVresources/3111-06-04-20-01-task/mr002-2.jpg; ±14

Question 3

p(2) = [___]

Revolt · Accepted Answer

-16

Question 4

–16–202

Revolt · Accepted Answer

–2

Question 5

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 6

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

Revolt · Accepted Answer

4

Question 7

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 8

0±2±4 ±9±3±6 ±12

Revolt · Accepted Answer

±2; ±4; ±3; ±6; ±12

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

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

Question 10

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.

The Rational Roots Theorem Answers

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