Write quadratic equation whose roots are 1 and - 3 and whose leading coefficient is 4

4x^2 + 8x - 12 = 0.

Step-by-step explanation:

We first write it in factor form.

4 (x - 1) (x + 3) = 0

4 (x^2 + 2x - 3) = 0

4x^2 + 8x - 12 = 0 (answer).

4x^2 + 8x - 12 = 0

Step-by-step explanation:

A quadratic equation with roots a and b has the equation (x - a) (x - b) = 0.

You roots are 1 and - 3.

The equation is

(x - 1) (x - (3)) = 0

(x - 1) (x + 3) = 0

We can multiply it out.

x^2 + 3x - x - 3 = 0

x^2 + 2x - 3 = 0

Since we need the leading coefficient to be 4, we multiply both sides by 4.

4x^2 + 8x - 12 = 0