Question

obtain all other zeroes of the polynomial 9x^4-6x^3-35x^2+24x-4, if two of its zeroes are 2 and -2.

Answer 1

first, do long division by both of the zeroes.
then, you obtain a quotient for the first zero. factorize the quotient by splitting the middleterm. you'll obtain two factors. so, the factors are (x-2) and the 2 other factors which uwill obtain.
similarly, obtain the factors for the another zero, I.e., x+2.
hope this helps