SOLUTION: write f(x)=x^4+x^3+7x^2+9x-18 as a product of linear factors

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: write f(x)=x^4+x^3+7x^2+9x-18 as a product of linear factors      Log On


   



Question 920405: write
f(x)=x^4+x^3+7x^2+9x-18 as a product of linear factors

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=x%5E4%2Bx%5E3%2B7x%5E2%2B9x-18...write 7x%5E2 as -2x%5E2%2B9x%5E2

f%28x%29=x%5E4%2Bx%5E3-2x%5E2%2B9x%5E2%2B9x-18...group

f%28x%29=%28x%5E4%2Bx%5E3-2x%5E2%29%2B%289x%5E2%2B9x-18%29

f%28x%29=x%5E2%28x%5E2%2Bx-2%29%2B9%28x%5E2%2Bx-2%29

f%28x%29=%28x%5E2%2B2x-x-2%29%28x%5E2%2B9%29

f%28x%29=%28x-1%29%28x%2B2%29%28x%5E2%2B9%29