Question

Obtain all zeroes of p(x)=x3+13x2+32x+20 if one of its zero is -2

Answer 1

Here's your answer


Given that -2 is a zero of the polynomial x3+13x2+32x+20
x=-2
x+2=0 is a factor of the given polynomial
First on dividing x+2 by the polynomial the quotiont will be x2+11x+10 ,now we will factorise it to get the other two zeroes.

x2+11x+10=0
x2+10x+x+10=0
x(x+10)+1(x+10)=0
(x+1) ,(x+10) =0
x=-1 & x=-10