Question

What are the actual roots of 2x^2+2x-24

Answer 1

The roots are 3 and -4

Explanation:

Well the roots of a polynomial are when that polynomial is set to zero. So this becomes
`2x^(2) +2x-24=0`. Dividing by two on both sides we get
`x^(2)+x-12=0`. Then, by factoring we get
`(x+4)(x-3)=0`. Then, since one of them has to be zero, we get two equations:
`(x+4)=0` and
`(x-3)=0`. Solving we get
`x=-4` and
`x=3`.