What is the difference of the polynomials (x^4+x^3+x^2+x)-(x^4-x3+x^2-x)

Accepted Solution

Answer: [tex]2x^3+2x[/tex]Step-by-step explanation: The difference is obtained by subtracting the polynomial [tex] (x^4+x^3+x^2+x)[/tex] and the polynomial [tex](x^4-x3+x^2-x)[/tex].  It is important to remember the multiplication of signs: [tex](-)(-)=+\\(+)(+)=+\\(-)(+)=-[/tex] Then, you can subtract both polynomials to find the difference. You need to Distribute the negative sign: [tex](x^4+x^3+x^2+x)-(x^4-x3+x^2-x)=x^4+x^3+x^2+x-x^4+x3-x^2+x[/tex] Finally, you have to add the like terms. Then: [tex]=2x^3+2x[/tex]