Module 8: Theorems on Polynomials

Quiz by Zenaida S. Nanoy

Mathematics

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20 questions
• Q1

Which of the following is a factor of x3- 6x2- 12x + 45?

x+2

x-4

x+3

x+1

300s
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• Q2

What is the remainder when 2x4- 3x3- 5x + 16 is divided by x - 2?

12

14

16

18

300s
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• Q3

Which expression gives the remainder when P(x)= x5 + 2x3- 3x + 6 is divided by           x +3?

P(2)

P(-2)

P(-3)

p(-1)

300s
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• Q4

Given: P(x) = 5x3 – 2x2- 7x – 6, what is P(-1) ?

-7

8

-6

-20

300s
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• Q5

Which is a factor of P(x) = x4- 3x2 + 5x + 6 ?

x+2

x-2

x-1

x+1

300s
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• Q6

Is the polynomial x3 +x2- 12x + 3 divisible by x - 3?

Undefined

Maybe

No

Yes

300s
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• Q7

What is the remainder when P(x) = x2019 – 7x2020 + 6 is divided by x – 1?

10

12

0

-12

300s
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• Q8

Find the value of k for which x + 2 is a factor of P(x) = x3 +3x2 + kx + 10?

6

4

7

5

300s
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• Q9

What is the remainder when 5x200 – 3x205 is divided by x + 1?

11

1

8

-2

300s
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• Q10

If P(-3) = 0, which of the following statements is true about P(x )?

x -3 is a factor of P(x )

P( 0) = -3

x + 3 is a factor of P(x )

3 is a root of P(x)=0

300s
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• Q11

If P(x) = 7x6 – 8x8 + 2x2 + x3 – 9, then the leading coefficient is _______.

8

6

9

-8

300s
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• Q12

One of the roots of 3x3(x2 + 2x - 5) is 0. How many other roots are there?

4

6

3

5

300s
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• Q13

Which set consists the possible rational roots of x3 + 4x2- 2x + 8 = 0?

±1, ±2, ±4

±1, ±8

±1, ±2, ±3, ±4, ±5, ±6, ±7, ±8

±1, ±2, ±4, ±8

300s
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• Q14

What polynomial equation has 2, 3, and 4 as roots?

(x – 2) (x + 4) (x – 3) = 0

(x + 2) (x – 3) (x + 4) = 0

2 (x - 2) (x - 4) (x - 3) = 0

2 (x + 2) (x + 3) (x + 4) = 0

300s
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• Q15

The root of x3 + 2x2 – 13x + 10 = 0 is_______.

5

-5

-2

-1

300s
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