SOLUTION: Factor the polynomial below completely, given that the binomial following it is a factor of the polynomial. x^3-4x^2+x+6, x+1 A) (x+1)(x^2-5x+6) B) (x+1)(x-3)(x-2) C) (x+1)(

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor the polynomial below completely, given that the binomial following it is a factor of the polynomial. x^3-4x^2+x+6, x+1 A) (x+1)(x^2-5x+6) B) (x+1)(x-3)(x-2) C) (x+1)(      Log On


   

Question 199766: Factor the polynomial below completely, given that the binomial following it is a factor of the polynomial.
x^3-4x^2+x+6, x+1
A) (x+1)(x^2-5x+6)
B) (x+1)(x-3)(x-2)
C) (x+1)(x-3)(x+2)
D) (x+1)(x+3)(x-2)
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
to factor ,,,x^3 -4x^2 +x +6,,,,knowing (x+1) is a factor,,,,use poly division or synthetic division
.
,,,,,,-1,,,,1,,,,-4,,,,,+1,,,,6
,,,,,,,,,,,,,,,,,,,-1,,,,,+5,,,-6
,,,,,,,,,,,,,,,__________________
,,,,,,,,,,,,,,1,,,,-5,,,,+6,,,,,0
.
(x+1)(x^2 -5x +6),,,,,,,now just factor 2nd term
.
(x+1) ( x-3) (x-2),,,,,or answer B
.
to check, multiply factors to reach original,,,,ok