Factorisation: Factor 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. x-a is a factor of p(x)= ax²+bx+c. Which of the following is true?

p(a)=2

p(a) = 0

p(2)=1

p(b)=0

Question 1 of 20

2. If x+1 is a factor of , then a=?

1

-3

3

-1

Question 2 of 20

3. If (x-2) is the factor of x² + 2x+ a, find the value of 'a'.

a = -16

a = -8

a = 16

a = 8

Question 3 of 20

4. Find the value of for  has() a factor

-1

1

2

0

Question 4 of 20

5. The value of p for which x + p is a factor of x² + px + 3 - p is:

-3

3

1

-1

Question 5 of 20

6. For two polynomials p(x) and q(x), x-a and x-b are their factors, respectively.Which of the following is true?

p(a)+q(b) = 0

p(a) x q(b) = 2

p(a) x q(b) = 1

p(a) + q(b) = 1

Question 6 of 20

7. Find the value of a such that (x - 2 ) is the factor of the polynomial x⁴ + ax³ + 2x² - 3x

a= - 3/4

a= 3/4

a= -9/4

a= 9/4

Question 7 of 20

8. One of the linear factors of

(x+1)

(x-4)

(x-2)

(x+2)

Question 8 of 20

9. What is the value of b such that x+3 is a factor of ?

1

4

-2

3

Question 9 of 20

10. Find the value of 'a' so that is the factor of 

a = -1

a = 1

a = -2

a = 2

Question 10 of 20

11. For a polynomial p(x), x-2 is a factor, so p(2) is _______

-1

0

-2

2

Question 11 of 20

12. x+1 is a factor of p(x)= x³+3x²+3x+1 , so what is the value of p(-1)

1

2

0

-1

Question 12 of 20

13. If (x-1) is a factor of ax - a, then find the value of a

a = 1

a = 2

a = 3

All values of a

Question 13 of 20

14. For a polynomial p(x), p(-1) and p(2) are both equal to zero .So, we can conclude that,

A

B

C

D

Question 14 of 20

15. For a polynomial, x² - 3x +2, which of the following is a factor ?

(x-2)

(x-3)

(x+3)

(x+2)

Question 15 of 20

16. If (2x + 5) is a factor of 2x² - k, then the value of k is.

25/2

2

25

-1

Question 16 of 20

17. (x + 2) is a factor of 2x³ + 5x² - x - k. The value of k is:

-24

6

-6

24

Question 17 of 20

18. If x-2 is a factor of ax²-x-6 , so what should be the value of a?

3

1

4

2

Question 18 of 20

19. Find the value of p(2) if p(x) has (x-2) as its factor.

-2

2

0

3

Question 19 of 20

20. Which of the following polynomials has -3 as a zero?

x² + 3

(x - 3)

x² - 9

x² - 3x

Question 20 of 20

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