If p(a)= 0 then (x-a) is a _____ of p(x).

(a)

divisor

(b)

quotient

(c)

remainder

(d)

factor

Zeros of (2-3x) is ______.

(a)

3

(b)

2

(c)

2/3

(d)

3/2

Which of the following has x -1 as a factor?

(a)

2x -1

(b)

3x -3

(c)

4x -3

(d)

3x -4

If x - 3 is a factor of p(x), then the remainder is _______.

(a)

3

(b)

-3

(c)

p(3)

(d)

p(-3)

(x+y)(x²−xy+y²) is equal to_______.

(a)

(x+y)³

(b)

(x-y)³

(c)

x³ + y³

(d)

x³ - y³

If one of the factors of x²-6x-16 is x - 8 then the other factor is ____________

(a)

(x + 6)

(b)

(x - 2)

(c)

(x + 2)

(d)

(x -16)

(a+b−c)² is equal to ______.

(a)

(a−b+c)²

(b)

(−a−b+c)²

(c)

(a+b+c)²

(d)

(a-b-c)²

In an expression ax²+bx c the sum and product of the factors respectively____________

(a)

a, bc

(b)

b, ac

(c)

ac, b

(d)

bc, a

If (x + 5) and (x - 3) are the factors of ax²+bx+c, then values of a, b and c are _______.

(a)

1, 2, 3

(b)

1, 2,15

(c)

1, 2, −15

(d)

1, −2,15

Cubic polynomial may have maximum of ________ linear factors.

(a)

1

(b)

2

(c)

3

(d)

4

Degree of the constant polynomial is _______.

(a)

3

(b)

2

(c)

1

(d)

0

GCD of any two prime numbers is _______.

(a)

-1

(b)

0

(c)

1

(d)

2

The remainder when (x²-2x+7) is divided by (x + 4) is __________

(a)

28

(b)

31

(c)

30

(d)

20

The GCD of a^k, a^k+1, a^k+5 where, k∈N _________

(a)

a^k

(b)

a^k+1

(c)

a^k+5

(d)

1

The GCD of x⁴-y⁴ and x²-y² is _______.

(a)

x⁴-y⁴

(b)

x²-y²

(c)

(x+y)²

(d)

(x+y)⁴

If there are 36 students of class 9 and 48 students of class 10, what is the minimum number of rows to arrange them in which each row consists of same class with same number of students ?

(a)

12

(b)

144

(c)

7

(d)

72