Question

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

Answer 1

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:

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.