Remainder Theorem

1. There will be total 20 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. What is the remainder when q(x)= is divided by x+2?

20

-23

-32

35

Question 1 of 20

2. The remainder when the polynomial p(x)= is divided by x-2 is

-5

-1

5

4

Question 2 of 20

3. What is remainder when x³ - 2x² + x + 1 is divided by (x -1)?

0

-1

1

2

Question 3 of 20

4. The remainder when x⁴ – 3x² + 5x – 7 is divided by x + 1 is:

-14

25

15

20

Question 4 of 20

5. Using Remainder Theorem, obtain the remainder when  is divided by ( - a)

4a

a

3

3a

Question 5 of 20

6. The polynomial p(x) and q(x) when divided by x+2 and x-3 leave a remainder of 3 and 5 respectively.
So which of the following is true?

p(2)-q(3)=-8

p(-3)-q(-2)=2

p(3)-q(-2)=-5

p(-2)+q(3)=8

Question 6 of 20

7. The remainder when is divided by 

-3

1

3

0

Question 7 of 20

8. The remainder obtained when the polynomial p(x) is divided by (b - ax) is:

A

B

C

D

Question 8 of 20

9.

4

-8

8

2

Question 9 of 20

10. For a polynomial p(x) =2 what is the remainder when it’s divided by x+4?

p(-2)

p(-4)

p(2)

p(4)

Question 10 of 20

11. Find remainder when is divided by 

-1

Zero

2

1

Question 11 of 20

12. Using Remainder theorem, find the remainder when

1

-5

5

Question 12 of 20

13. In the division of a cubic polynomial p(x) by a linear polynomial, the remainder is p(-2).So, the divisor must be

2x-1

x+2

2x+1

x-2

Question 13 of 20

14. Find the remainder when is divided by 

0

2

-1

1

Question 14 of 20

15. Find the remainder when is divided by

-1

0

1

2

Question 15 of 20

16. Find for p(t) = t² - t + 2

22/9

15/9

16/9

14/9

Question 16 of 20

17. Using Remainder Theorem find the remainder when is divided by

-2

-1

1

2

Question 17 of 20

18. Find the remainder when is divided by 

-1

1

2

0

Question 18 of 20

19. If p(x)= does not have x-a as a factor, then p(a)

4a+1

4a-1

is a non zero number

equal to zero

Question 19 of 20

20. P(x) is a polynomial in x, ‘a’ is a real number. If (x-a) is a factor of p(x), then p (a) must be

2a

Positive

Negative

Zero

Question 20 of 20

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