Answer:
Remainder is -53/8
Step-by-step explanation:
the divisor is (2x - 3):
make x the subject:
[tex]2x - 3 = 0 \\ 2x = 3 \\ x = \frac{3}{2} [/tex]
substitute for x in the function:
[tex]f(x) = {x}^{3} - 6 {x}^{2} + 3x - 1 \\ f( \frac{3}{2} ) = {( \frac{3}{2}) }^{3} - 6 {( \frac{3}{2}) }^{2} + 3( \frac{3}{2} ) - 1 \\ \\ f( \frac{3}{2} ) = \frac{ - 53}{8} [/tex]
