Divide.

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

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(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)

What would the quotient be and the remainder?

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

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

Oh. sorry please.

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.

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