Question

Factor out GCF 7(z+3)^5+(z+3)^7

Answer 1

both terms have a common factor of \((z+3)\) to the lowest power you see

Answer 2

wow

Answer 3

lol

Answer 4

yeah that was a bunch of nonsense

Answer 5

what is the lowest power you see there in the exponent ?

Answer 6

5

Answer 7

right so both terms contain \((z+3)^5\)

Answer 8

im just confused on what i write after i take (z+3)^5 out

Answer 9

ok so lets do that part

Answer 10

what would you have to multiply \((z+3)^5\) by to get \[\color{red}7(z+3)^5\]?

Answer 11

7

Answer 12

yes of course

Answer 13

now this part might be a little trickier but not much
what would you have to multiply \((z+3)^5\) by to get \((z+3)^7\)?

Answer 14

(z+3)^2

Answer 15

ok good

Answer 16

so when you "factor it out" as the math teachers say, you get \[(z+3)^5(7+(z+3)^2)\]

Answer 17

sweet

Answer 18

thanks b