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Solving Polynomials Rational Root Theorem

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

Solving Polynomials Rational Root Theorem
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15 questions

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1.

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

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 2x3 + 5x2 - 9x + 5

±1, ±5, ±1/2, ±5/2

±1, ±2, ±5, ±1/2, ±5/2

±1, ±5

±1, ±2, ±5, ±1/2, ±5/2, ±2/5

Tags

CCSS.HSA.APR.B.2

3.

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

Tags

CCSS.HSF-IF.C.7C

4.

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

5.

FILL IN THE BLANK QUESTION

1 min • 1 pt

How many possible negative rational solutions answers are there for x4 - 17x3 + 77x2 - 127x + 66 = 0?

(a)  

6.

FILL IN THE BLANK QUESTION

1 min • 1 pt

x4 - 17x3 + 77x2 - 127x + 66 = 0

First find all the zeroes. Then find the sum of ALL the solutions.

(a)  

7.

FILL IN THE BLANK QUESTION

1 min • 1 pt

x4 - 3x3 - 7x2 + 15x + 18 = 0

Find all the solutions. What solution is the answer twice?

(a)  

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