Question

identify GCF then factor the expression
2x^7+4x^6-6x^5+4x^4

Answer 1

So what do they all have in common?

Answer 2

2 x^4 is the GCF

Answer 3

i would say the 2x

Answer 4

If you pull 2 x^4, you get
\[
2 x^4 (2 - 3 x + 2 x^2 + x^3)
\]

Answer 5

Yes 2x now they all have a least how many powers? We see 7,6,5,4 so the least of them is....?

Answer 6

4 so 2x^4 is the gcf

Answer 7

Yes great! Now you simply remove that from the problem to solve the rest of it. The coefficients (numbers without a power) will be divided by 2 and each power you will subtract 4 from

Answer 8

ok so since the x^4 goes to the begining its gone from the equation

Answer 9

Yes that number will end up as just a single number with no power in the final answer

Answer 10

so the correct answer for the 5ac^2-5ca^2 was 5ca(a-c)

Answer 11

Take 2x^4 from 2x^7 and what will you have left?

Answer 12

2x^3

Answer 13

correct?

Answer 14

Close 2/2=1 so there will be no coefficient in that one. So the first number will be reduced to x^3

Answer 15

Sorry about that last problem. Can't be right 100% of the time. I double checked with my computer and it had it with 5 in the parenthesis in front of each term

Answer 16

do you have a program that you run these tbhrough that you could suggest?
its no problem

Answer 17

Yes I use Microsoft mathematics. You can download the program for free from the Microsoft website.

Answer 18

ok cool thanks alot

Answer 19

no problem