Question

joe showed his work please explain what he did wrong.
2x^3-4x^2-48x
2x(x^2-2x-24)
2x (x+6)(x-4)

Answer 1

do you see the error?

Answer 2

well i think when he factored out the gcf he messed up ?

Answer 3

no that part is correct

Answer 4

hmm well hold on

Answer 5

nope i aint got it :(

Answer 6

the error happens when he factors x^2-2x-24 to get (x+6)(x-4)

why is that wrong?

Answer 7

he didnt find the correct multiples to add up to 2x

Answer 8

it's not +2x, it's actually -2x

Answer 9

well then subtract to 2x

Answer 10

notice how +6 - 4 = +2

but we want -2

Answer 11

so we should have -6 + 4 = -2

meaning that x^2-2x-24 should factor to (x-6)(x+4)

Answer 12

ok i see whear this is going

Answer 13

that's good

Answer 14

tthank you

Answer 15

yw