Question

Help please? greatest common factors!

Answer 1

\[2x ^{2}+4x-2\]

Answer 2

\[5a ^{2}+b\]

Answer 3

\[-2x ^{3}+6x ^{2}\]

Answer 4

Any ideas?

Answer 5

\[-3x ^{2}+6x-9\]

Answer 6

What do you mean any ideas?

Answer 7

What have you tried?

Answer 8

@Veronicaam95 OpenStudy values the Learning process - not the ‘Give you an answer’ process
Don’t post only answers - guide the asker to a solution.

Answer 9

Do you know the definition?

Answer 10

Well the definition of greatest common factor would be the highest number dividing in to two or more numbers, correct?

Answer 11

Yes...

Answer 12

The greatest common factor (GCF) of two or more integers is the greatest integer that is a factor of all of them.

Answer 13

The greatest common factor of two or more monomials is the common factor with the greatest coefficient and greatest degree in each variable.

Answer 14

Ok Thankyou, but how exactly do i use that to solve the problems that i posted? I need help on how to work them out

Answer 15

The greatest monomial factor of a polynomial is the GCF of its terms.

Answer 16

uhmm?

Answer 17

You need to find the GCF of the terms of the polynomials.

Answer 18

So for the very first problem i posted, would i be finding the gcf for 4x?

Answer 19

Is 4x "common" to all the terms?

Answer 20

greatest COMMON factor, right?

Answer 21

Yes, You are right

Answer 22

So, 4x is not.

Answer 23

First look for the common factor.