Menu

Solutions for Polynomial Equations

Please provide a rating, it takes seconds and helps us to keep this resource free for all to use

[ 1 Votes ]

The following math revision questions are provided in support of the math tutorial on Solutions for Polynomial Equations. In addition to this tutorial, we also provide revision notes, a video tutorial, revision questions on this page (which allow you to check your understanding of the topic) and calculators which provide full, step by step calculations for each of the formula in the Solutions for Polynomial Equations tutorials. The Solutions for Polynomial Equations calculators are particularly useful for ensuring your step-by-step calculations are correct as well as ensuring your final result is accurate.

Not sure on some or part of the Solutions for Polynomial Equations questions? Review the tutorials and learning material for Solutions for Polynomial Equations

Polynomials Learning Material
Tutorial IDTitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
11.3Solutions for Polynomial Equations

Solutions for Polynomial Equations Revision Questions

1. . Which of the following numbers is NOT a root of the polynomial

P(x) = x3 - x2 - 4x + 4
  1. -2
  2. 0
  3. 1
  4. 2

Correct Answer: B

2. . The number x = 3 is a zero for the polynomial

P(x) = 2x3 - 3x2 + 5x + m

What is the value of m?

  1. -42
  2. -12
  3. 0
  4. 12

Correct Answer: A

3. . How many roots does the polynomial

P(x) = x3 - 3x2 + 3x - 1

have?

  1. 0
  2. 1
  3. 2
  4. 3

Correct Answer: B

4. . What is/are the roots of the polynomial equation

2x3 - 3x2 - 3x + 2 = 0
  1. -1 and 0
  2. -1 and 2
  3. 0.5 and 2
  4. -1, 0.5 and 2

Correct Answer: D

5. . What is the operation indicated by the scheme below?

Math Tutorials: Solutions for Polynomial Equations Example
  1. x3 - x2 + 2x + 4/x + 1 = x2 - 2x + 4
  2. x3 - x2 + 2x + 4/x + 1 = -x2 + 2x - 4
  3. x3 - x2 + 2x + 4/x - 1 = x2 - 2x + 4
  4. -x2 + 2x - 4/x3 - x2 + 2x + 4 = -1

Correct Answer: A

6. . What is the polynomial equation indicated by the graph below? The pairs of coordinates are for the black dots.

Math Tutorials: Solutions for Polynomial Equations Example
  1. x3 - 4x2 + 5x - 2 = 0
  2. -3x3 - 4x2 + 5x - 2 = 0
  3. -3x3 + 4x2 + 5x - 2 = 0
  4. 3x3 + 4x2 + 5x - 2 = 0

Correct Answer: C

7. . What is the value of a0/an in the polynomial

P(x) = -2x4 - 5x3 + x2 - 4x + 8
  1. -1/4
  2. -2
  3. -4
  4. 8

Correct Answer: C

8. . How many elements does the possible number of rational roots of the polynomial

P(x) = 2x3 - 3x2 - 5x + 4

contain?

Hint! The number of possible values of roots is required, not the actual number of roots.

  1. 4
  2. 8
  3. 12
  4. 16

Correct Answer: B

9. . What are the possible values of p in the polynomial

P(x) = 6x4 - x3 - 3x2 + 5x - 3
  1. -3 only
  2. -3 and 3
  3. -3, -1, 1 and 3
  4. -3, -1, 0, 1 and 3

Correct Answer: C

10. . What are the possible values of p/q in the polynomial

P(x) = x3 + 3x2 - 2x - 5
  1. -5, -2, 3 and 1
  2. -5, -1, 1 and 5
  3. -5, -3, -2, -1, 1, 2, 3 and 5
  4. -5 and 5

Correct Answer: D

Whats next?

Enjoy the "Solutions for Polynomial Equations" practice questions? People who liked the "Solutions for Polynomial Equations" practice questions found the following resources useful:

  1. Practice Questions Feedback. Helps other - Leave a rating for this practice questions (see below)
  2. Polynomials Math tutorial: Solutions for Polynomial Equations. Read the Solutions for Polynomial Equations math tutorial and build your math knowledge of Polynomials
  3. Polynomials Video tutorial: Solutions for Polynomial Equations. Watch or listen to the Solutions for Polynomial Equations video tutorial, a useful way to help you revise when travelling to and from school/college
  4. Polynomials Revision Notes: Solutions for Polynomial Equations. Print the notes so you can revise the key points covered in the math tutorial for Solutions for Polynomial Equations
  5. Check your calculations for Polynomials questions with our excellent Polynomials calculators which contain full equations and calculations clearly displayed line by line. See the Polynomials Calculators by iCalculator™ below.
  6. Continuing learning polynomials - read our next math tutorial: Rational Expressions

Help others Learning Math just like you

Please provide a rating, it takes seconds and helps us to keep this resource free for all to use

[ 1 Votes ]

We hope you found this Math tutorial "Solutions for Polynomial Equations" useful. If you did it would be great if you could spare the time to rate this math tutorial (simply click on the number of stars that match your assessment of this math learning aide) and/or share on social media, this helps us identify popular tutorials and calculators and expand our free learning resources to support our users around the world have free access to expand their knowledge of math and other disciplines.

Polynomials Calculators by iCalculator™