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

1. Mertsj Group Title

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 Group Title

I don't know what to do, though.

4. Mertsj Group Title

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 Group Title

I think that helped

6. Mertsj Group Title

Are you sure you copied it right?

7. AEB047 Group Title

Yes

8. Mertsj Group Title

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

9. Mertsj Group Title

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