Practice problem
If f(x)=x4+2x2+1f(x) = x^4 + 2x^2 + 1f(x)=x4+2x2+1 and g(x)=x2g(x) = x^2g(x)=x2, find f(x)g(x)f(x) g(x)f(x)g(x).
x4+3x2+1x^4 + 3x^2 + 1x4+3x2+1
x12+2x8+x2x^{12} + 2x^8 + x^2x12+2x8+x2
x6+2x4+x2x^6 + 2x^4+x^2x6+2x4+x2
4x124x^{12}4x12
Type a concept, like “slope” or “photosynthesis”.