Question

What is the quotient when the expression (65y³ + 15y² - 25y) is divided by 5y?

a) 13y² - 3y - 5
b) 13y³ + 3y² - 5y
c) 13y² - 3y + 5
d) 13y² + 3y - 5

Answer 1

The quotient of the expression (65y³ + 15y² - 25y) divided by 5y is 13y² + 3y - 5, which is option (d).

Step-by-step explanation:

To find the quotient when the expression (65y³ + 15y² - 25y) is divided by 5y, we perform polynomial long division or simply divide each term by 5y.

• Divide 65y³ by 5y to get 13y².
• Divide 15y² by 5y to get 3y.
• Divide -25y by 5y to get -5.

The resulting quotient is 13y² + 3y - 5, which correlates to option (d).