Question

Write the quadratic equation whose roots are 3 and -4, and whose leading coefficient is 5.

(Use the letter x to represent the variable.)

Answer 1

`f(x)=5x^2-5x-60`

Explanation:

We know that x=3 is the solution to x-3=0 and x=-4 is the solution to x+4=0, thus:

`f(x)=5(x-3)(x+4)\\\\f(x)=5(x^2-x-12)\\\\f(x)=5x^2-5x-60`