Polynomials Mock Tests

If the polynomial x³ - 6x² + 11x - 6 is divided by (x - 2), the remainder is:

If the polynomial x³ - 2x² + kx + 4 is divisible by (x - 2), then the value of k is:

If α and β are the zeros of the polynomial p(x) = x² − 6x + k, and α − β = 2, then the value of k is:

If x³ + 6x² + 11x + 6 is divided by (x + 1), the remainder is:

The product of (x + 3)(x - 3) is:

If α and β are the zeros of the polynomial x² - 7x + 12, find the value of α² + β².

If the polynomial 2x³ − 9x² + 6x − k has a remainder of 5 when divided by x − 1, what is the value of k?

The factorisation of 2x² + 5x + 3 is: