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Tutorial ID | Title | Tutorial | Video Tutorial | Revision Notes | Revision Questions | |
---|---|---|---|---|---|---|

11.3 | Solutions for Polynomial Equations |

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

P(x) = x^{3} - x^{2} - 4x + 4

- -2
- 0
- 1
- 2

**Correct Answer: B**

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

P(x) = 2x^{3} - 3x^{2} + 5x + m

What is the value of m?

- -42
- -12
- 0
- 12

**Correct Answer: A**

**3.** . How many roots does the polynomial

P(x) = x^{3} - 3x^{2} + 3x - 1

have?

- 0
- 1
- 2
- 3

**Correct Answer: B**

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

2x^{3} - 3x^{2} - 3x + 2 = 0

- -1 and 0
- -1 and 2
- 0.5 and 2
- -1, 0.5 and 2

**Correct Answer: D**

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

= x*x*^{3}- x^{2}+ 2x + 4*/**x + 1*^{2}- 2x + 4= -x*x*^{3}- x^{2}+ 2x + 4*/**x + 1*^{2}+ 2x - 4= x*x*^{3}- x^{2}+ 2x + 4*/**x - 1*^{2}- 2x + 4= -1*-x*^{2}+ 2x - 4*/**x*^{3}- x^{2}+ 2x + 4

**Correct Answer: A**

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

- x
^{3}- 4x^{2}+ 5x - 2 = 0 - -3x
^{3}- 4x^{2}+ 5x - 2 = 0 - -3x
^{3}+ 4x^{2}+ 5x - 2 = 0 - 3x
^{3}+ 4x^{2}+ 5x - 2 = 0

**Correct Answer: C**

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

P(x) = -2x^{4} - 5x^{3} + x^{2} - 4x + 8

*-1**/**4*- -2
- -4
- 8

**Correct Answer: C**

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

P(x) = 2x^{3} - 3x^{2} - 5x + 4

contain?

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

- 4
- 8
- 12
- 16

**Correct Answer: B**

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

P(x) = 6x^{4} - x^{3} - 3x^{2} + 5x - 3

- -3 only
- -3 and 3
- -3, -1, 1 and 3
- -3, -1, 0, 1 and 3

**Correct Answer: C**

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

P(x) = x^{3} + 3x^{2} - 2x - 5

- -5, -2, 3 and 1
- -5, -1, 1 and 5
- -5, -3, -2, -1, 1, 2, 3 and 5
- -5 and 5

**Correct Answer: D**

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- 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
- 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.
- Continuing learning polynomials - read our next math tutorial: Rational Expressions

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