Question

Which statement below BEST describes how you would factor this polynomial completely?
3x2 - 75

Take out the GCF. Nothing else can be done.

Take out the GCF, then factor the difference of squares.

There is no GCF, so factor the trinomial. One of the factors is a difference of squares, so factor it further.

Take out the GCF, then factor the difference of squares. One of the factors is a difference of squares, so factor it further.

Answer 1

What's the GCF in this case?

Answer 2

come on sloth7.....you can do this...what is the GCF ?

Answer 3

3?

Answer 4

yes

Answer 5

good, so you would factor that out to go from

3x^2 - 75

to

3(x^2 - 25)

Answer 6

what can you do with x^2 - 25 ?

Answer 7

i can find the gcf lol

Answer 8

factor ?

Answer 9

yep, how would you factor

Answer 10

factor differences?

Answer 11

(x-5)(x+5)

Answer 12

good, difference of squares

Answer 13

so your final factorization is 3(x-5)(x+5)

Answer 14

so its just take out gcf then factor differences

Answer 15

nice job jim

Answer 16

thanks kelliegirl33

Answer 17

and yes Sloth7, you factor out the GCF (if it's not 1), then factor as much as you can

in this case, you would use the difference of squares factoring rule

Answer 18

THANKS

Answer 19

you're welcome