To find the quotient of the polynomial terms 65y³, 15y², 25y, and 5y, we need to divide each term by the common factor, which in this case is 5y.
Let’s break it down:
- For the first term, 65y³ divided by 5y is:
- 65y³ ÷ 5y = (65 ÷ 5)(y³ ÷ y) = 13y²
- For the second term, 15y² divided by 5y is:
- 15y² ÷ 5y = (15 ÷ 5)(y² ÷ y) = 3y
- For the third term, 25y divided by 5y is:
- 25y ÷ 5y = (25 ÷ 5)(y ÷ y) = 5
So, the quotient of each term by 5y leads us to:
- 13y²
- 3y
- 5
Thus, the final quotient can be summarized as:
Quotient: 13y² + 3y + 5