## Intermediate Algebra (6th Edition)

$-4x^{2}+9x$
We are given that $P(x)=3x+3$ and $Q(x)=4x^{2}-6x+3$. $P(x)-Q(x)=(3x+3)-(4x^{2}-6x+3)=(3x+3)+(-4x^{2}+6x-3)$ Combine like terms. $-4x^{2}+(3x+6x)+(3-3)=-4x^{2}+9x$