Form a polynomial whose zeros and degree are given.

Question

Zeros: -3, 3, 4; degree: 3

Answer 1

If the zeros are -3,3and 4 then the factors of the polynomial are (x+3),(x-3) and (x-4) so our polynomial is (x+3)(x-3)(x-4)

We now need to multiply this out

(x+3)(x-3)= x^2-9

(x^2-9)(x-4)= x^3 -4x^2 -9x +36