The Rational Roots Theorem

Question 1

Complete the steps to identify all potential rational roots of f(x) = 3x2 – x – 4.Values of p are factors of .

Revolt · Accepted Answer

C: -4

Question 2

Check all of the numbers that are potential rational roots of f(x) = x4 – 2x3 + 5x2 – 7x + 9.

Revolt · Accepted Answer

A: ±1; B: ±3; C: ±9

Question 3

of the polynomial.

Revolt · Accepted Answer

B: definitely a root

Question 4

Which of the values shown are potential roots of f(x) = 3x3 – 13x2 – 3x + 45? Select all that apply.

Revolt · Accepted Answer

A: ; B: ; C: ; D: ; E: ; F: ; G: ; H:

Question 5

Complete the steps to solve the polynomial equation x3 – 21x = –20.According to the rational root theorem, which number is a potential root of the polynomial?

Revolt · Accepted Answer

C: 1

Question 6

Complete the steps to identify all potential rational roots of f(x) = 3x2 – x – 4.Values of p are factors of 3X -1✔ -4.

Revolt · Accepted Answer

C: ✔  -4

Question 7

Check all of the numbers that are potential rational roots of f(x) = x4 – 2x3 + 5x2 – 7x + 9.

Revolt · Accepted Answer

A: ±1; B: ±3; C: ±9

Question 8

The graph of f(x) = 2x3 +x2 – 4x – 2 is shown.How many of the roots of f(x) are rational?

Revolt · Accepted Answer

B: 1

Question 9

f(x) = 4x4 – 8x3 – 3x2 +7x – 2 = (x + 1)(4x3 – 12x2 +9x – 2)Look at the graph. Which of the following potential roots should you test next?

Revolt · Accepted Answer

B:

Question 10

a potential root, but not a root✔ definitely a rootdefinitely not a root of the polynomial.

Revolt · Accepted Answer

B: ✔ definitely a root

The Rational Roots Theorem Answers

More from this Course

TRY EDGENUITY HACKS