Solving Polynomials Rational Root Theorem

Solving Polynomials Rational Root Theorem

11th Grade

15 Qs

quiz-placeholder

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Solving Polynomials Rational Root Theorem

Solving Polynomials Rational Root Theorem

Assessment

Quiz

Mathematics

11th Grade

Hard

Created by

Anthony Clark

FREE Resource

15 questions

Show all answers

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

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

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?

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.

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?

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