Question

if alpha and beeta are the zeroes of the quadratic polynomial f(x)=x3+13x2+32x+20 if one of it's zeroes is -2

Answer 1

Given -2 is a zero of polynomial so x+2 is a factor of p(x)

$p(x) = x {3} + 13x {}^{2} + 32x + 20$

$f(x) = x + 2$
on dividing p (x) by f (x)


$(x + 2)(x {}^{2} + 11x + 10)$

$(x + 2)(x {}^{2} + 10x + x + 10)$