Question

If (x - 1 ) is a factor of the polynomial 2x^2 - 2a ,then find the value of a.

Answer 1

Answer:

$put \: \:x - 1 = 0 \\ x =1 \\ \\ p(x) = {2x}^{2} - 2a \\ p(1) = 2 ({1})^{2} - 2a = 0 \\ 2 - 2a = 0 \\ - 2a = 0 - 2 \\ - 2a = - 2 \\ a = \frac{2}{2} \\ a = 1$