Question

Write the quadratic equation whose roots are 6 and -6 and whose leading coefficient is 4

Answer 1

`f(x)=4x^2-144`

Explanation:

Since x-6=0 has x=6 and x+6=0 has x=-6, then:

`f(x)=4(x+6)(x-6)`

`f(x)=4(x^2-36)`

`f(x)=4x^2-144`