Question

Create a polynomial with zeros: x = {-2,3}
I have no idea how to do this

Answer 1

Standard form of polynomial = ax² + bx + c

Zeros: x = {-2,3}

This gives the factors as, (x + 2) (x - 3)

On expanding this:

(x + 2) (x - 3)

x(x - 3) + 2(x - 3)

x² - 3x + 2x - 3

x² - x - 3

Polynomial = x² - x - 3