Question

If x = -1/2 is a zero of the polynomial p(x) = 8x3 – k, then find the value of k​

Answer 1

putting the value of x = -1/2 in the equation

8(-1/2)³ - k = 0

8*(-1)/8 - k = 0

k = -1

Answer 2

$x = \frac{ - 1}{2} \\ p(x) = 8 {x}^{3} - k \\ p( \frac{ - 1}{2} ) = 8( { \frac{ - 1}{2} })^{3} - k = 0 \\ = > 8 \times \frac{ \:( - 1)}{8} - k = 0 \\ = > - 1 - k = 0 \\ = > k = - 1$