Question Bank

Factorize a^2 - b^2 - 4a + 4.

Factorize x^3 - y^3 - 3x^2y + 3xy^2.

Factorize a^4 + 1/a^4 + 1.

Factorize 4a^2 - 12ab + 9b^2 - 16c^2.

Factorize x^4 + 1024.

What is the degree of the polynomial P(x) = 5x^4 - 3x^2 + 7x - 2?

Which of the following is a constant polynomial?

What is the leading coefficient of the polynomial 2x - 5x^3 + 4?

Find the value of P(x) = x^2 - 5x + 6 when x = 2.

Identify the type of polynomial: f(x) = x^2 - 9.

What is the remainder when P(x) = x^3 - 1 is divided by (x - 1)?

Find the product of (x + 3) and (x - 3).

Which of the following expressions is NOT a polynomial?

What is the coefficient of x in the expansion of (x + 2)^2?

Find the HCF of 4x^2y and 6xy^2.

What is the zero of the polynomial f(x) = 2x - 10?

If P(x) = x^2 + kx + 4 and P(1) = 0, what is the value of k?

Expand (a - b)^2.

What is the sum of (2x^2 + 3x) and (x^2 - x + 5)?

If x = -1, what is the value of 3x^3 - 2x^2 + 1?