Question

Write the quadratic equation whose roots are −3 and 2, and whose leading coefficient is 4.

Answer 1

f(x) = 4(x+3)(x-2)

Explanation:

The quadratic function is

f(x) = a(x-b1)(x-b2) where a is a coefficient and b1 and b2 are the zeros

f(x) = a(x- -3)(x-2)

f(x) = a(x+3)(x-2)

The leading coefficient is a and we know a =4

f(x) = 4(x+3)(x-2)