Question

Factor each expression and explain how you solved it.

42.
g^2 - 5g - 14

44.
6k^2 - 10kL + 4L^2

46.
r^2 + 6r - 40

48.
t^2 - 13t - 30

50.
3x^2 + 3x - 6

Answer 1

42. g^2+2g-7g-14= g(g+2)-7(g+2) = (g-2)(g+7)
44. 6k^2-6kL-4kL+4L^2= 6k(k-L)-4L(k-L)= (6k-4L)(k-L)
46. r^2-4r+10r-40 = r(r-4)+10(r-4)= (r+10)(r-4)
48. t^2-3t-10t-30 = t(t-3)-10(t-3)= (t-10)(t-3)
50. 3x^2-3x+6x-6 = 3x(x-1)+6(x-1) = (3x+6)(x-1)


REALLY hoping this helps bc this took me some time