ALGEBRA  long division
posted by Stephanie on .
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.

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.

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
x3 is NOT a factor of the 2nd question.