How to find the quotient using synthetic division or polynomial long division?

2016-05-24 4:31 pm
2x^2 - 5x - 3 by 2x + 1

回答 (1)

2016-05-24 6:49 pm
Using long division we have:

.........x - 3
.........__________
2x + 1)2x² - 5x - 3
..........2x² + x
...............- 6x - 3
...............- 6x - 3
....................0 remainder

Hence, (2x² - 5x - 3)/(2x + 1) = x - 3

i.e. 2x² - 5x - 3 = (x - 3)(2x + 1)

:)>


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