Question

Help with homework Algebra 2:

What is the quotient (72y3 + 12y2 − 30y) ÷ 6y?

12y2 − 2y + 5
12y2 + 2y − 5
12y3 + 2y2 − 5y
12y2 − 2y − 5

Answer 1

The answer is 12y^2 + 2y - 5
The solution:
(72y^3 + 12y^2 - 30y) / 6y =
(6y)*(12y^2 + 2y - 5) / 6y = 12y^2 + 2y - 5

Answer 2

`12y^2+2y-5`

Explanation:

`(72y^3 + 12y^2 - 30y)` ÷ 6y

WE divide each term by 6y, while dividing by 6y we apply property of exponent

a^m / a^n= a^m-n

`(72y^3)/(6y) =12y^2`

`(12y^2)/(6y) =2y`

`(30y)/(6y) =5`

Now we combine all the terms

`12y^2+2y-5`