How do you divide #(x^3-x^2+4x+4) / (x+2) # using polynomial long division?

1 Answer
Jun 21, 2018

What do you have to multiply x by to get #x^3#?
#x^2(x+2)=x^3+2x^2# subtract this from the polynomial, bring down the next term,
answer: #x^2-3x+10+(-16)/(x+2)#

Explanation:

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What do you have to multiply x by to get #x^3#?
#x^2(x+2)=x^3+2x^2# subtract this from the polynomial, bring down the next term,
REMEMBER YOU ARE SUBTRACTING POLYNOMIALS! Distribute the - sign.
What do you have to multiply x by to get #-3x^2#? -3x
#-3x(x+2)=-3x^2-6x# subtract this from the remaining polynomial.
Continue till you can divide no more.