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

Question

use Synthetic Division

Answer 1

(4x² -2x +5 )/(x+2) = ?

For the systhetic division, x = -2.

-2 l 4      -2       5

    l         -8      20

    l-----------------

      4    -10      25          therefore, Quotient  = 4x -10, and Remnent = 25.

As a result, (4x2 -2x +5 )/(x+2) = (4x -10) + 25/(x+2).

I hope this will help.

 

 

Answer 2

In synthetic division, the divisor is the root of x+2 = 0, which is -2.

-2 | 4 -2 5

.........-8 20

----------------

......4 -10| 25

Answer: (4x^2-2x+5)/(x+2) = (4x-10) + 25/(x+2)

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