Question

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Use synthetic division to find the result when x4 – x3 – 19x2 10x + 17 is
divided by 2 - 5. If there is a remainder, express the result in the form q(x) +
r(a)
b(x):

Answer 1

`(x^4-x^3-19x^2-10x+17)/(x-5)=x^3+4x^2+x-5+(-8)/(x-5)`

Explanation:

5 | 1 -1 -19 -10 17

___ 5 20_ 5 -25____

1 4 1 -5 | -8

So, we show our answer as
`1x^3+4x^2+1x-5+(-8)/(x-5)=x^3+4x^2+x-5+(-8)/(x-5)`