Problem page write the quadratic equation whose roots are 5 and - 4, and whose leading coefficient is 1.

The first thing to do in this case is to write the polynomial in a factored form for the roots.

We have then:

(x-5) * (x + 4) = 0

Then, rewriting the quadratic equation:

(x-5) * (x + 4)

x ^ 2 + 4x - 5x - 20

x ^ 2 - x - 20

answer:

the quadratic equation whose roots are 5 and - 4, and whose leading coefficient is 1 is

x ^ 2 - x - 20