Question

Your search - Find all the zeros of the polynomial p(x)=x³+13x²+32x+20 if one of its zeros is -2 .

Answer 1

Answer :

Since, (- 2) is a zero of the given polynomial, then (x + 2) is a factor of it.

Now, p (x) = x^3 + 13x^2 + 32x + 20

= x^3 + 2x^2 + 11x^2 + 22x + 10x + 20

= x^2 (x + 2) + 11x (x + 2) + 10 (x + 2)

= (x + 2) (x^2 + 11x + 10)

= (x + 2) (x^2 + x + 10x + 10)

= (x + 2) {x (x + 1) + 10 (x + 1)}

= (x + 2) (x + 1) (x + 10)

Therefore, the other zeroes are (- 1) and (- 10).

Hope it helps!

Answer 2

Hope it is correct!!