Chapter 4 - Polynomials - 4.5 Multiplication of Polynomials - 4.5 Exercise Set - Page 269: 59

$x^3-x^2+3x+3$

Using the Distributive Property, the product of the given expression, $ (x^2-x+3)(x+1) ,$ is \begin{array}{l}\require{cancel} x^2(x)+x(1)-x(x)-x(1)+3(x)+3(1) \\\\= x^3+x-x^2-x+3x+3 \\\\= x^3-x^2+(x-x+3x)+3 \\\\= x^3-x^2+3x+3 .\end{array}