Question

Write the quadratic equation whose roots are 3 and -2, and whose leading coefficient is 5?

Answer 1

If r is a root of the function, then x-r is a factor. You have a quadratic equation with two roots, one is 3, the other is -2. so you should have a product of two expressions, one with the first root, and then one with the second root.

Answer 2

Multiply that out, and then multiply your result by 5 so that you can have a quadratic with leading coefficient of 5.