## AEB047 Group Title How do you factor x^2-4x+24 2 years ago 2 years ago

1. Mertsj

It won't factor by the usual methods since there are not 2 numbers whose product is 24 and whose sum is -4

can't be factored. use the quadratic formula which is x= -b + or - the square root of b^2 - 4ac all over 2a a= the x^2 which is 1 b=the -4 c=24 hope that helped :)

3. AEB047

I don't know what to do, though.

4. Mertsj

So if you want to factor it, you could use the quadratic formula and find the roots. Then using the roots, you could write the factors.

5. AEB047

I think that helped

6. Mertsj

Are you sure you copied it right?

7. AEB047

Yes

8. Mertsj

$x=\frac{4\pm \sqrt{16-4(24)}}{2}=\frac{4\pm \sqrt{-80}}{2}=\frac{4\pm4\sqrt{5}i}{2}=2\pm2\sqrt{5}i$

9. Mertsj

So the factors must by: $[x-(2+2\sqrt{5}i)][x-(2-2\sqrt{5}i)]$