Question

Quadratic equation whose roots are -6 and 6, and whose leading coefficient is 3

Answer 1

If -6 and 6 are the roots, x+6 and x-6 are the factors.

So we have...

f(x)=(x+6)(x-6)

Because the leading coefficient is currently 1, we need to make it 3.

f(x)=3(x+6)(x-6)

f(x)=3x²-108

answer: f(x)=3x²-108