SOLUTION: If f(x)=x^5+x^4-x^3-x^2 then the value f(x)+f(-x) is 2(-x^4+x^2) 2x^2(x+1)(x-1) 2(x^5-x^3) None

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: If f(x)=x^5+x^4-x^3-x^2 then the value f(x)+f(-x) is 2(-x^4+x^2) 2x^2(x+1)(x-1) 2(x^5-x^3) None      Log On


   

Question 1133676: If f(x)=x^5+x^4-x^3-x^2 then the value f(x)+f(-x) is
2(-x^4+x^2)
2x^2(x+1)(x-1)
2(x^5-x^3)
None
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=x%5E5%2Bx%5E4-x%5E3-x%5E2, as given
and
f%28-x%29=%28-x%29%5E5%2B%28-x%29%5E4-%28-x%29%5E3-%28-x%29%5E2
-x%5E5%2Bx%5E4%2Bx%5E3-x%5E2

The rest is very simple algebra.