Question

What is the difference of the polynomials?

Answer 1

x^4 + x^3 + x^2 + x - x^4 + x^3 - x^2 + x

the x^4’s cancel out and so do the x^2’s

2x^3 + 2x

hope this helps

Answer 2

`2x^(3) + 2x`

Explanation:

`(x^(4) + x^(3) + x^(2) + x) - (x^(4) - x^(3) + x^(2) - x)` --> Equation

`x^(4) + x^(3) + x^(2) + x - x^(4) + x^(3) - x^(2) + x` --> Substituted the -1 on the second parentheses to successfully be able to subtract

`(x^(4) - x^(4)) + (x^(3) + x^(3)) + (x^(2) - x^(2)) + (x + x)` --> Combined Like Terms

`(0) + (2x^(3)) + (0) + (2x)` --> Simplified

`2x^(3) + 2x` --> Simplified

Hope this helped! <3