## Precalculus: Mathematics for Calculus, 7th Edition

$-x^{4}+x^{2}-x+1$
Multiply. Use the rule $(A+B)(A-B)=A^{2}-B^{2}$: $(x-1)^{2}-x^{4}$ $x^{2}-x+1-x^{4}$ Rearrange terms from biggest to smallest exponent: $-x^{4}+x^{2}-x+1$