Question

what is the quotient (65y3 15y2 − 25y) ÷ 5y? a. 13y2 3y − 5 b. 13y3 3y2 − 5y c. 13y2 − 3y 5 d.13y2 − 3y − 5

Answer 1

When you divide each term by 5y, you are left with A's equation. The answer is A.

Answer 2

Keywords:

Division, quotient, polynomial, monomial

For this case we must solve a division between a polynomial and a monomial and indicate which is the quotient.

By definition, if we have a division of the form:
`\frac {a} {b} = c`, the quotient is given by "c".

We have the following polynomial:

`65y ^ 3 + 15y ^ 2 - 25y` that must be divided between monomy
`5y`, then:

`C (y)` represents the quotient of the division:

`C (y) = \frac {65y ^ 3 + 15y ^ 2 - 25y} {5y}`

`C (y) = \frac {65y ^ 3} {5y} + \frac {15y ^ 2} {5y} - \frac {25y} {5y}`

`C (y) = 13y ^ 2 + 3y-5`

Thus, the quotient of the division between the polynomial and the monomial is given by:

`C (y) = 13y ^ 2 + 3y-5`

Answer:

The quotient is:
`C (y) = 13y ^ 2 + 3y-5`

Option: A