Answer
See explanations.
Work Step by Step
When multiplying two polynomials using the FOIL method, multiply each term in the first polynomial to each term in the second polynomial. Then combine the like terms to form a new polynomial. For example
$(x+1)(x^2+x+1)=x(x^2+x+1)+1(x^2+x+1)=x^3+x^2+x+x^2+x+1=x^3+2x^2+2x+1$
