SOLUTION: Using the remainder theorem, divide f(x) = x^3 + 3x^2 + 3x + 1 by x + 1 and deine the value of the remainder. a. -8 b. -44 c. 0 (there is no remainder) d. 8

Algebra ->  Equations -> SOLUTION: Using the remainder theorem, divide f(x) = x^3 + 3x^2 + 3x + 1 by x + 1 and deine the value of the remainder. a. -8 b. -44 c. 0 (there is no remainder) d. 8      Log On


   



Question 147546: Using the remainder theorem, divide f(x) = x^3 + 3x^2 + 3x + 1 by x + 1 and deine the value of the remainder.
a. -8
b. -44
c. 0 (there is no remainder)
d. 8

Answer by nabla(475) About Me  (Show Source):
You can put this solution on YOUR website!
Memorizing the formula for a cubic would easily result in the solution. It is superfluous to use any division or remainder theorem.
x^3 + 3x^2 + 3x + 1=(x+1)^3
There will be no remainder for a^3/a. (We get a^2.)