Question

Factor Completely plsssss (25points)

Answer 1

Ax²+bx+c
when a=1 then it is easy
find what 2 numbers myltiply to get c and add to get b
example, if they were d and e then it would factor to
(x+d)(x+e)
if it was -d and e then
(x-d)(x+e)


so


x²+8x+12
what 2 numbers multiply to get 12 and add to get 8?
6 and 2
(x+6)(x+2)






w²+2w-24
what  2 numbres multiply to -24 and add to 2?
-4 and 6
(w-4)(w+6)




x²-11x+24
what 2 numbers multiply to get 24 and add to get -11?
-3 and -8
(x-3)(x-8)




x²-5x-36
what 2 numbers multiply to get -36 and add to get -5?
-9 and 4
(x-9)(x+4)