SOLUTION: Determine the factors of the given polynomial.show your solution 1.x^3+2x^2-5x-6 2.x^3+x^2-x-1

Algebra ->  Test -> SOLUTION: Determine the factors of the given polynomial.show your solution 1.x^3+2x^2-5x-6 2.x^3+x^2-x-1       Log On


   

Question 1187127: Determine the factors of the given polynomial.show your solution
1.x^3+2x^2-5x-6
2.x^3+x^2-x-1
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

1.
x%5E3%2B2x%5E2-5x-6...............write 2x%5E2+as+3x%5E2-x%5E2, and -5x as -3x-2x
x%5E3%2B3x%5E2-x%5E2-3x-2x-6............group
%28x%5E3%2B3x%5E2%29-%28x%5E2%2B3x%29-%282x%2B6%29.....factor out common
x%5E2%28x%2B3%29-x%28x%2B3%29-2%28x%2B3%29
%28x%5E2+-+x+-+2%29+%28x+%2B+3%29..........write -x+as x-2x
%28x%5E2+%2Bx-+2x+-+2%29+%28x+%2B+3%29 ..........group
%28%28x%5E2+%2Bx%29-+%282x+%2B+2%29%29+%28x+%2B+3%29
%28x%28x+%2B1%29-+2%28x+%2B+1%29%29+%28x+%2B+3%29
%28x+%2B+1%29+%28x+-+2%29+%28x+%2B+3%29

2.
x%5E3%2Bx%5E2-x-1
x%5E3-x%5E2%2B+2x%5E2-2x%2Bx-1
%28x%5E3-x%5E2%29%2B+%282x%5E2-2x%29%2B%28x-1%29
x%5E2%28x-1%29%2B+2x%28x-1%29%2B%28x-1%29
%28x+-+1%29+%28x%5E2+%2B+2+x+%2B+1%29+
%28x+-+1%29+%28x+%2B+1%29%5E2