Synthetic Division...1

Section 2.3
Question 44

Use synthetic division to divide.

(3x^3 - 4x^2 + 5)/(x - 3/2)

Show steps. Thanks.

 

Question 44

Use synthetic division to divide.

(3x^3 - 4x^2 + 5)/(x - 3/2)


..........(3x^2 +(1/2) x+3/4
(x - 3/2)| 3x^3 - 4x^2 +0*x+ 5
..............3x^3-(9/2)x^2.........................subtract
................... (1/2) x^2.........bring down next term
....................(1/2) x^2+0*x
....................(1/2) x^2-(3/4)x.......................subtract
....................................(3/4) x........bring down next term
.........................................(3/4) x+5
.........................................(3/4) x-9/8
................................................... 49/8->reminder

so, 3 x^3 - 4x^2 + 5 = ((3x^2 + x/2 + 3/4))×(x - 3/2) + 49/8

 

I know synthetic division. I wanted to know what to do when the divisor is x minus a fraction. I got it now. Same procedure.