# ALGEBRA -- long division

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Find each solution using long division. Show your work.

Show that x + 1 is NOT a factor of...
2x^3 + x^2 - 11x - 30.

Show that x - 3 IS a factor of 2x^3 - 11x^2 - 11x^2 + 12x + 9.

• ALGEBRA -- long division -

Just do long division like you would for anything else. Look at the remainder in the quotient after you divide the divisor into the dividend.

• ALGEBRA -- long division -

P(-1) -2 +1 +11 +30
P(-1) =40
P(-1) Is not 0
so x+1 is not a factor the question.

P(3) 54 -99 -99 +36 + 9
P(3) =-99
x-3 is NOT a factor of the 2nd question.

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