Use the long division method to find the result when
12x^3 + 12x^2 + 25x +10 is divided by 3x+2
The long division method for dividing polynomials involves dividing term by term. Let's go through the steps:
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3x + 2 | 12x^3 + 12x^2 + 25x + 10
- (12x^3 + 8x^2)
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4x^2 + 25x + 10
- (4x^2 + 2x)
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23x + 10
- (23x + 15)
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-5
The result is -5. Therefore, when 12x^3 + 12x^2 + 25x + 10 is divided by 3x + 2, the quotient is 4x^2 + 2x - 5.