SOLUTION: please help solve. Use the Factor Theorem to determine whether x - c is a factor of f. If it is, write f in factored form, that is, write f in the form f(x) = (x - c)(quotient).

Algebra ->  Functions -> SOLUTION: please help solve. Use the Factor Theorem to determine whether x - c is a factor of f. If it is, write f in factored form, that is, write f in the form f(x) = (x - c)(quotient).      Log On


   



Question 616620: please help solve.
Use the Factor Theorem to determine whether x - c is a factor of f. If it is, write f in factored form, that is, write f in the form f(x) = (x - c)(quotient).
f(x) = 8x3 + 31x2 + 23x + 6; c = -3

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




is a factor of the polynomial if and only if .

So evaluate . If it is zero, then is a factor. If that is the case, divide by using either polynomial long division or synthetic division to find the quadratic factor.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism