Polynomials

If x = 2 is a root of P(x) = x - k, find k.

Find the remainder when x^2 - 5x + 6 is divided by x - 1.

What is the product of the roots of x^2 - 7x + 10?

If x + 2 is a factor of x^3 + 2x^2 - x + k, find k.

Divide 2x^2 + 5x - 3 by x + 3.

Factorize x^2 - 5x + 6 completely.

What must be added to x^2 + 6x to make it a perfect square?

Find the HCF of (x - 1)^2 and (x^2 - 1).

Find the LCM of x(x+1) and x^2.

What is the remainder when P(x) = x^4 - 1 is divided by x + 1?

Simplify: (x + y)^2 - (x - y)^2.

Expand (2x - 3)^2.

If P(x) = x^2 - 3x + 2, for what values of x is P(x) = 0?

What is the degree of the polynomial (x-1)(x-2)(x-3)(x-4)?

Divide x^3 - 1 by x - 1.

Which value of k makes x^2 + kx + 16 a perfect square?

Simplify (x^2 - 4) / (x - 2).

Find the HCF of 6x^2y and 9xy^2.

What is the coefficient of x^2 in the expansion of (x+1)^3?

Solve for x: x^2 - 4x = 0.