What is the quotient (6x⁴ + 15x³ - 2x² + 10x - 4) ÷ (3x² + 2)?

Solution:

Given: Expression is (6x⁴ + 15x³ - 2x² + 10x - 4) ÷ (3x² + 2)

To find the quotient ,we need to perform long division method.

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.

Let us proceed below,

Therefore. the quotient of (6x⁴ + 15x³ - 2x² + 10x - 4) ÷ (3x² + 2) is 2x² + 5x - 2

What is the quotient (6x⁴ + 15x³ - 2x² + 10x - 4) ÷ (3x² + 2)?

Summary:

2x² + 5x - 2 is the quotient for (6x⁴ + 15x³ - 2x² + 10x - 4) ÷ (3x² + 2).