SOLUTION: Determine whether the binomial (X+4) is a factor of the polynomial P(x)=3x^3+14x^2+3x-22

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Determine whether the binomial (X+4) is a factor of the polynomial P(x)=3x^3+14x^2+3x-22      Log On


   

Question 307190: Determine whether the binomial (X+4) is a factor of the polynomial
P(x)=3x^3+14x^2+3x-22
Found 4 solutions by richwmiller, solver91311, jim_thompson5910, abinasakbar:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
No X+4 isn't and x+4 isn't either

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


Use either polynomial long division to determine if the remainder when is divided by is equal to zero, or use synthetic division to determine whether . If so, then is a factor, otherwise not.

The process for polynomial long division is described in:

http://www.purplemath.com/modules/polydiv2.htm

The process for synthetic division is described in:

http://www.purplemath.com/modules/synthdiv.htm





John

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: If x-r is a factor of the polynomial P%28x%29, then P%28r%29=0. In the case of this problem, this means that if x-%28-4%29 is a factor, then P%28-4%29=0.

Answer by abinasakbar(1) About Me  (Show Source):
You can put this solution on YOUR website!
3x^3+14x^2+3x-22
3x^3 + 3x + 14x^2 + - 22
3x(x^2 + 1) + 2 (7x + 11 )
No i dont think x+4 is a factor