If 2x2 + 3x + 1 is divided by (3x + 2), then the remainder is:

If (x - 3) is a common factor of (x2 - 2x - 3) and (x2 - kx - 6), find the value of k.

What is the remainder when (x + 1) divides (x57 + 57)?

If two zeroes of the polynomial x3 + 7x2 - 2x - 14 are √2 and -√2, then the third zero is:

Find the value of 'k', if x2 - 2x + 1 is a factor of 2x4 + x3 - 14x2 + 5k + 6.

Let f(x) = x3 + x2 + x + 1 and g(x) = x3 - x2 + x - 1. Then the HCF of f(x) and g(x) is:

If the value of the expression 2x3 + 3x2 - 4x + a is equal to 0 when x = -1, then the value of 'a' is:

Let p(x) be a real polynomial of one variable with an odd degree. Which of the following statements is NOT true?

If 1, 2, 3, and 4 are the roots of the polynomial x4 - a1x3 + a2x2 + a3x + a4, then what is the value of a1?