Question

What is a polynomial function in standard form with the zeros 1,2,-2 and -3

Answer 1

x^4 + 2x^3 - 7x^2 - 8x + 12.

Explanation:

In factor form this is (x - 1)(x - 2)(x + 2)(x+ 3)

= (x^2 - 3x + 2)(x^2 + 5x + 6)

= x^4 + 5x^3 + 6x^2 - 3x^3 - 15x^2 - 18x + 2x^2 + 10x + 12

= x^4 + 2x^3 - 7x^2 - 8x + 12.