Question

Find the GCF of the first two terms and the GCF of the last two terms of the polynomial.

5h3 + 20h2 + 4h + 16
A. 5h2, 16

B. 5h3, 4

C. 5h2, 4

D. h2, h

Answer 1

what can devide the first and second terms?

Answer 2

5 n 4 then 4n4

Answer 3

or 2 and 8 for 16

Answer 4

hint: 5h^3+20h^2 = 5h^2(h+4)

Answer 5

so 5h^3 +20h^2

Answer 6

You could also look at it as (5h^3+20h^2)+(4h+16). Factor out the first () and then factor out the second ()

Answer 7

factor them how

Answer 8

You are looking for something common with 5 and 20, and also h^3 and h^2.

Answer 9

wouldnt the common be five

Answer 10

yes, and on the h^3 and h^2?

Answer 11

h

Answer 12

close then you would have 5h(1h^2+4h), looks like you can take something out again?

Answer 13

the 1h^2

Answer 14

does the 4 have an h^2 that can be taken out?

Answer 15

ok so that leaves 5h^2

Answer 16

There you go, good job so on the first one you have 5h^2(h+4).
Now what would you take out the second one (4h+16)?

Answer 17

4h

Answer 18

Not just elimanating your possibilities did you see that a 5h^2 was common in both?

Answer 19

does the 16 have an h to take out?

Answer 20

or no the 4 does

Answer 21

can you take 4 out of both?

Answer 22

yes

Answer 23

so what would you be left with if you took a 4 from both?

Answer 24

h

Answer 25

5h^2 and 16

Answer 26

and what would be left over of the 16?

Answer 27

can you get 16 out of 4?

Answer 28

yes

Answer 29

Can you take 16 out of 4?