Question

Find the zeros of the polynomial
$x {}^{2} + x - p(p + 1)$
Please answer with all the steps.

Answer 1

X2 + x - p(p+1) =0


X2 + x - p2 - P = 0

(x-p) + (x2 - p2) = 0

(x-p) + (x+p) (x-p) = 0

(x-p)(x+p+1)=0

X=p & - p-1