Question

(picture1) Factoring Polynomials: GCF PLEASEE HELP!!!!!
5h+6
5h+8
7h+6
7h+8

Answer 1

ANSWER


`5h + 8`


EXPLANATION

Harriet's gross pay at the end of 7 work days is

`35h + 56 \: dollars`

To find the gross pay each day, we need to divide the gross pay at the end of 7 work days by 7.

This will give us,


`= (35h + 56)/(7)`

We factorize to obtain,


`= (7(5h + 8))/(7)`

We cancel out the common factor to get,


`= 5h + 8 \: dollars`
as the gross pay for each day.


Therefore the correct answer is B.

Answer 2

Second option: 5h+8

Explanation:

Gross pay at the end of 7 work days: T=35h+56 dollars

Gross pay each day: E=T/7

T=35h+56

T=7*5h+7*8

Factoring on the right side of the equation: Common factor 7:

T=7*(7*5h/7+7*8/7)

T=7*(5h+8)

Replacing in the equation of E:

E=T/7

E=7*(5h+8)/7

Simplifying:

E=5h+8