## Introductory Algebra for College Students (7th Edition)

$x^4+3x^2+2$
Using $(a+b)(c+d)=ab+ad+bc+bd$ or the FOIL Method, the product of the given expression, $(x^2+1)(x^2+2) ,$ is \begin{array}{l}\require{cancel} x^2(x^2)+x^2(2)+1(x^2)+1(2) \\\\= x^4+2x^2+x^2+2 \\\\= x^4+3x^2+2 .\end{array}