Question

Factor the GCF first and then factor the resulting binomial: 2x3 - 98x
2x(x + 49)(x - 49)
2x(x + 7)(x - 7)
2x(x + 14)(x - 14)
prime

Answer 1

GCF = greatest common factor

what is the greatest common factor of 2x^3 and -98x?

Answer 2

me thinks 2x is....

2x(x^2 - 49)

now factor x^2 - 49

x^2 - 49 = (x+7)(x-7)

so we end up with

2x(x+7)(x-7)

Answer 3

how did you get 49?

Answer 4

when i factored out 2x,

98/2 = 49

Answer 5

o okay thank you!

Answer 6

you're welcome!