Long division problem algebra

label Algebra
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Divide.

(12x^2 +20x +8) / (3x + 2)

Oct 16th, 2015

Thank you for the opportunity to help you with your question!

Try to follow the steps keenly in order to understand

(12x^2+20x+8)/(3x+2)

4(3x^2+5x+2)/(3x+2)

simplifying the quadratic expression 3x^2+5x+2

sum=5

product=6

The two factors for the expression are 2 and 3

3x^2+3x+2x+2

3x(x+1)+2(x+1)

(3x+2)(x+1)

Back to the expression

4(3x+2)(x+1)/(3x+2)

(3x+2) cancels both the numerator and denominator. therefore we remain with

4(x+1)

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 16th, 2015

What would the quotient be and the remainder?

Oct 16th, 2015

The quotient is (3x+2) and the remainder is 4(x+1)

Oct 16th, 2015

the quotient was 4x+4 and the remainder was 0

Oct 16th, 2015

Oh. sorry please. 

Oct 16th, 2015

Yes. the quotient is the end result after division. That is what I gave as 4(4x+1) which can be expanded by opening the brackets to give 4x+4. 

Oct 16th, 2015

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