# Synthetic Division...1

Discussion in 'Other Pre-University Math' started by nycmathguy, Sep 3, 2021.

1. ### nycmathguy

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Section 2.3
Question 44

Use synthetic division to divide.

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

Show steps. Thanks.

nycmathguy, Sep 3, 2021
2. ### MathLover1

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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

MathLover1, Sep 3, 2021
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