# How do you use synthetic division to divide 3x^5+4x^4+2x^2-1 by x+2?

$3 {x}^{5} + 4 {x}^{4} + 2 {x}^{2} - 1 \div \left(x + 2\right)$
$= 3 {x}^{4} - 2 {x}^{3} + 4 {x}^{2} - 6 x + 12$
with a Remainder of $- 23$