SOLUTION: Use the Factor Theorem to determine whether the first polynomial is a factor of the second. x + 3; -4x^3 + 5x^2 + 8

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Use the Factor Theorem to determine whether the first polynomial is a factor of the second. x + 3; -4x^3 + 5x^2 + 8      Log On


   

Question 982440: Use the Factor Theorem to determine whether the first polynomial is a factor of the second.
x + 3; -4x^3 + 5x^2 + 8
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
If the remainder is zero,....

Be sure to account for ALL place values of x. The dividend is -4x%5E3%2B5x%5E2%2B0%2Ax%2B8.

The rest is left to you. If you are unsure about the synthetic division process, then use polynomial division.

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Factor Theorem to determine whether the first polynomial is a factor of the second.
x + 3; -4x^3 + 5x^2 + 8
f%28x%29+=+-+4x%5E3+%2B+5x%5E2+%2B+8

If f%28-+3%29+=+0, then it is. Otherwise it's not.