## Finite Math and Applied Calculus (6th Edition)

$3x^{5}-7x^{4}+4x^{3}+8x^{2}-4x+8$
Distribute using terms of the first parentheses: $...=x^{3}(3x^{2}-x+2)-2x^{2}(3x^{2}-x+2)+4(3x^{2}-x+2)$ $=3x^{5}-x^{4}+2x^{3}-6x^{4}+2x^{3}-4x^{2}+12x^{2}-4x+8$ gather like terms: $-x^{4}-6x^{4}=-7x^{4}$ $+2x^{3}+2x^{3}=4x^{3}$ $-4x^{2}+12x^{2}=8x^{2}$ $=3x^{5}-7x^{4}+4x^{3}+8x^{2}-4x+8$