Find the quotient and remainder using long division for

\frac(x^3 -6 x^2 + 13 x -28)(x-4)

The quotient is ?

The remainder is -8

Find the quotient and remainder using long division for

\frac(x^3 -6 x^2 + 13 x -28)(x-4)

The quotient is ?

The remainder is -8

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George C. | Humboldt State and Georgetown graduateHumboldt State and Georgetown graduate

Synthetic division:

4 | 1 -6 13 -28

4 -8 20

1 -2 5 -8

x^2 -2x +5 -8/(x-4)

Using polynomial long division we get

x^{2} - 2x + 5

_________________

x - 4 | x^{3} - 6x^{2} + 13x - 28

x^{3} - 4x^{2} = x^{2}(x - 4)

----------

-2x^{2} + 13x

-2x^{2} + 8x = -2x(x - 4)

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

5x - 28

5x - 20 = 5(x - 4)

----------

-8

Thus the quotient is x^{2} - 2x + 5. The remainder is -8, just as you said.

the quotient dont work

still not getting it!!

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## Comments

Check my answer from where you posted the question earlier today.