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

2x + 6

2x − 6

2x + 4

2x − 4, r = 1

User Zilma
by
8.1k points

1 Answer

2 votes

Answer:

The quotient is
2x^2-5x+2

Explanation:

We want to simplify:


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

We factor the numerator to get:


((x-2)(2x-1)(3x^2+2))/(3x^2+2)

We cancel out the common factors to get:


(x-2)(2x-1)

Therefore the quotient is
2x^2-5x+2

User Xah Lee
by
8.2k points
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