# How do you find a polynomial function with degree 3 whose zeros are -2, 1 and 2?

May 23, 2015

Polynomial would be ${x}^{3} + {x}^{2} - 4 x - 4$

Zeros are given, hence factors of the polynomial functions are easily identified. These are (x+2), (x-1) and (x-2).

The polynomial would therefore be (x+2)(x-2)(x+1), or
${x}^{3} + {x}^{2} - 4 x - 4$