# Solutions for Polynomial Equations

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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

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

3. . How many roots does the polynomial

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

have?

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

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

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

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

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

1. x3 - 4x2 + 5x - 2 = 0
2. -3x3 - 4x2 + 5x - 2 = 0
3. -3x3 + 4x2 + 5x - 2 = 0
4. 3x3 + 4x2 + 5x - 2 = 0

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

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

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

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

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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

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