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.Com
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) (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
RELATED QUESTIONS
Factor each polynomial completely given that the binomial following it is a factor of the (answered by tutorcecilia)
Factor the polynomial completely, given that hte binomial following it is a factorof the... (answered by jim_thompson5910)
46. Factor completely. -3t^3+ 3t^2-6t
60. Factor polynomial completely.... (answered by jim_thompson5910)
Factor each polynomial completely, given that the binomial following it is a factor of... (answered by venugopalramana)
Please help me to solve the following problem:
Factor each polynomial completely,... (answered by Nate)
Factor each polynomial completely, given that the binomial Following it is a factor of... (answered by Earlsdon)
Factor each polynomial completely, given that the binomial following it is a factor of... (answered by solver91311,vleith)
Factor the polynomial below completely, given the bionomial folowing it is a factor of... (answered by jim_thompson5910)
This one is stumping me. Can anyone show me the steps and solution?
Factor each... (answered by Nate)