What is the quotient (6x4 + 15x3 − 2x2 + 10x − 4) ÷ (3x2 + 2)? a.2x2 − 5x + 2 b.2x2 + 5x − 2 c.2x2 − 5x − 2 d.2x2 + 5x + 2

The given problem is :

(6x^4 + 15x^3 − 2x^2 + 10x − 4) ÷ (3x^2 + 2)?

now we can write expression (6x^4 + 15x^3 − 2x^2 + 10x − 4) as

(6x^4 + 4x^2 + 15x^3 + 10x - 6x^2 -4)

we have somehow arrange the expression in a way that 3x^2 + 2 is common

now the expression comes out to be

2x^2(3x^2 + 2) + 5x(3x^2+2) -2(3x + 2) / (3x^2+2)

After dividing final result comes out to be (2x^2 + 5x -2)

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step-by-step explanation: