Question

Multiple Choice Questions
1. For a polynomial p (x), if p (6) = 0, then which of the following must be a factor of p (x) ?
(a) x+ 6 (b) x – 6 (c) x2

+ 6 (d) x3
– 6

2. If x + 1 is a factor a polynomial 2x2

+ kx, then the value of k is

(a) – 3 (b) 4 (c) 2 (d) – 2
3. x + 1 is a factor of the polynomial
(a) x3
+ x2
– x+ 1 (b) x3
+ x2
+ x + 1 (c) x4
+ x3
+ x2
+ 1 (d) x4
+ 3x3
+ 3x2
+ x + 1

4. One of the factors of (25x2

– 1) + (1 + 5x)2
is

(a) (5 + x) (b) (5 – x) (c) (5x – 1) (d) 10x
5. The factorization of 4x2

+ 8x + 3 is

(a) (x + 1) (x+ 3) (b) (2x + 1) (2x + 3) (c) (2x + 2) (2x + 5) (d) (2x – 1) (2x – 3)
6. If x + 2 is a factor of x3
– 2ax2
+ 16, then the value of a is

(a) 3 (b) 1 (c) 4 (d) 2
7. If one of the factors of x2

+ x – 20 is (x +5), the other one is

(a) (x – 4) (b) (x + 2) (c) (x + 4) (d) (x – 5)
8. If x2
– 1 is a factor of ax4
+ bx3
+ cx2
+ dx + e, then

(a) a + b + e = c + d (b) a + b + c = d + e (c) b + c + d = a + e (d) None of these
9. If x + 1 is a factor of x100 + 2x99 + k, then k =
(a) 1 (b) – 1 (c) 0 (d) 2
10. One of the factor of 8 (a + 3b)2

– 4 (a + 3b)

(a) (a + 3b) (b) (a – 3b) (c) 6 b (d) 2 a
11. Factorisation of ax – by + bx – ay is
(a) (x + y)(a+ b) (b) (x + y) ( a – b) (c) (x – y) (a + b) (d) (x – y) (a – b)
12. The coefficient of x2

in (3x + x3
) x is

(a) 4 (b) 1 (c) 3 (d) 2
13. If x2
+ kx + 6 = (x + 2) (x + 3) for all x, the value of k is
(a) 1 (b) 2 (c) 5 (d) 3
14. One of the factors of (x – 1) – (x2
– 1) is

(a) x2
– 1 (b) x + 1 (c) x – 1 (d) x + 4
15. In which of the following x + 2 is a factor
(a) 4x3
– 13x+ 6 (b) x3
– x
2
+ x + 4 (c) 4x3

– 13x – 25 (d) – 2x3
+ x2
– 13x – 19

Answer 1

Step-by-step explanation:

some word are missing but it is correct explanation