Question

If 2 and -2 are the two zeros of the polynomial (x^4 + x^3 -34 x^2 -4x +120),find all the zeroes of the given polynomial

Answer 1

As -2 and 2 are zeroes   (x-2) and (x+2) are factors . (x-2)(x+2) gives x^2 -4 ,dividing x^4 +x^3-34x^2 + 120 with x^2-4 givesx^2+x-30

Factorising x^2+x-30 gives (x-5)(x+6)

Therefore the other zeroes are 5 and -6