Question

Is synthetic division the same as polynomial division?

Answer 1

The synthetic division is not same as the polynomial long division.

Given:

Let's take a polynomial function f(x) = $x^3+2x^2-5x-6$ divided by x-2.

Using synthetic divison:

2    1     2     -5     -6

     0    2      8      6

     1     4      3      0

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

= (x-2)(x+3)(x+1)

Polynomial long division:

x-2)$x^3+2x^2-5x-6$ (x^2+4x+3

     x^3- 2x^2

            4x^2 - 5x + 6

            4x^2 - 8x

                       3x + 6

                       3x - 6

                         0

=(x-2)(x^2+4x+3)

Learn more about the division here:

brainly.com/question/21416852

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