Write the quadratic equation whose roots are
4 and −2, and whose leading coefficient is 3.
(use the letter x to represent the variable.)

The quadratic equation  can be written in the form:

Where p and q are the roots of the equation.
Given p = 4, q = -2, a = 3, the quadratic will look like this:

Finally, distribute and combine like terms to put it in standard form.