Question Bank

Which of the following polynomials has (x + 1) as a factor?

Simplify the rational expression: (x^2 - 5x + 6) / (x^2 - 4).

If x^2 + px + q and x^2 + mx + n have a common factor (x - a), then a is:

The remainder when P(x) = 4x^3 - 3x^2 + 2x - 1 is divided by (2x - 1) is:

Find the value of (x-a)^3 + (x-b)^3 + (x-c)^3 if a+b+c = 3x.

What is the HCF of a^2 - b^2 - 2bc - c^2 and a^2 + 2ab + b^2 - c^2?

If x^2 + 1/x = 0, which is not true?

Factorize: 2x^2 + 7x + 3.

The product of (x+1), (x-1) and (x^2+1) is:

If P(x) = x^2 - 2sqrt(2)x + 1, find P(sqrt(2)).

Which of the following is a factor of x^6 - y^6?

If x = 2 is a root of x^2 + kx - 6 = 0, find k.

The LCM of 12(x-1)^3 and 15(x-1)(x+2) is:

Expand: (2a - 3b)^3.

If x^2 + 1/x^2 = 2, find x.

Find HCF of 2x^2 - 8 and x^2 - 4x + 4.

If P(x) = x^3 - kx^2 + 2x - 4 is exactly divisible by x - 2, find k.

What is the remainder when x^3 + 3x^2 + 3x + 1 is divided by x + 1?

Find the coefficient of x^2 in (2x+1)(x-3).

The zeros of P(x) = x^2 - 3x are: