f one zero of 4𝑥2−3𝑥+𝑘4x 2 −3x+k is reciprocal to the other, then find the value of 𝑘k.443443​ −4−4−3−3

f one of the two roots of x²- 4x - k = 0 is twice the other roots, then find the value of k.

A function, f , is given byf (x) = x3 + 2x2 + x + k,where k is a constant and, when f (x) is divided by x − 1, the remainder is 4.Find k and hence find the solutions of the equation f (x) = 0.

f –4 is a root of the equation x² + px – 4 = 0 and the quadratic equation x² + px + k = 0 has equal roots, find the value of k.

For what value of k, −4 is a zero of the polynomialx2 − x − (2k + 2).

The value of k for which x – 1 is a factor of the polynomial 4x3+ 3x2 – 4x + k is :-a.3b.0c.1d.- 3