Checkpoint: Synthetic Division with Non-Integers Solutions

Checkpoint: Synthetic Division with Non-Integers Solution

Simplify using synthetic division.

$(2 x^{3} - 11 x^{2} + 13 x - \frac{3}{2}) {(2 x - 3)}^{- 1}$

$\frac{(2 x^{3} - 11 x^{2} + 13 x - \frac{3}{2}) \div 2}{(2 x - 3) \div 2}$

$x^{2} - 4 x + \frac{1}{2}$

Note

Q: When the divisor has a leading coefficient other than one, what is the first step in synthetic division?
A: All terms of the dividend must also be divided by the coefficient (of the divisor).

You do not need to write fractions as mixed numbers.