What is the quotient of (x³ + 6x² + 11x + 6) ÷ (x² + 4x + 3)?

Solution:

In Math, long division is a method for dividing large numbers into steps or parts, breaking the division problem into a sequence of easier steps.

It is the most common method used to solve problems based on division. Observe the following division to see the divisor, the dividend, the quotient, and the remainder.

Using long division method,

Therefore, the quotient (x³ + 6x² + 11x + 6) ÷ (x² + 4x + 3) is (x + 2)

What is the quotient of (x³ + 6x² + 11x + 6) ÷ (x² + 4x + 3)?

Summary:

The quotient of (x³ + 6x² + 11x + 6) ÷ (x² + 4x + 3) is (x + 2).