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