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

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) (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.)
RELATED QUESTIONS
1.Divide using polynomials long division. (3x^2-29x+56)/(x-7) 2.Use the polynomial... (answered by Boreal)

The cubic polynomial f(x) is such that the coefficient of x^3 is -1 and the roots of the... (answered by KMST)

Use the remainder theorem to find the remainder when f(x) is divided by x+3. Then use the (answered by josgarithmetic)

p(x)=x^3-x+1 c=1/2 solve by using synthetic division and the remainder... (answered by stanbon)

Use synthetic division and the remainder theorem to find the value of the given function (answered by Edwin McCravy)

find the quotient and the remainder of expression (3x^3+3x-2)/(x+1) a. 3x^2+3x-4,6... (answered by stanbon,Fombitz)

When the positive integer x is divided by 8, the remainder is 3. What is the remainder... (answered by jim_thompson5910)

Use the remainder theorem to find the remainder when f(x) is divided by g(x)... (answered by ramkikk66)