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Solving Polynomials Using Rational Root Theorem

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

Solving Polynomials Using Rational Root Theorem
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve by using Rational Root Theorem: 
2x3 - 11x2 + 12x + 9 = 0

-1, 1, 3

-1, 3/2, 3 

-1/2, 3, 3

-1/2, 1, 3

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Use the rational root theorem to state ALL possible roots

Plus or Minus: 5, 1 and 1/2

Only positive: 5 and 1

Only negative: 5, 1, 1/2, and 5/2

Plus or Minus:5, 1, 1/2, and 5/2

Tags

CCSS.HSA.APR.B.2

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Use the rational root theorem to state all possible roots

Plus and Minus:1,1/2, 1/5, 1/10, 2, 2/5, 3, 3/2, 3/5, 3/10, 6, and 6/5

Only positive: Don't pick this, u should know its plus and minus by now

Only negative: see option 2

Plus and Minus: 1, 1/2, 1/5, 1/10, 2, 2/5, 3, 3/2, 3/10, and 6

Tags

CCSS.HSA.APR.B.2

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 3x3 + 2x2 - 6x + 7

±1, ±7, ±1/3, ±7/3

±1, 7

±1, ±3, ±7, ±7/3

±1, ±3, ±7, ±1/3, ±7/3

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Use the Rational Root Theorem to determine the list of possible rational roots.

A

B

C

D

Tags

CCSS.HSA.APR.B.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which of the following is NOT a possible rational root. 

A

B

C

D

Tags

CCSS.HSA.APR.B.2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which of the following is NOT a possible rational zero for p(x). 

A

B

C

D

Tags

CCSS.HSA.APR.B.2

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