## anonymous 5 years ago (2x^3+3x^2-19x-1) / (x-4)

1. anonymous

do you know how to use synthetic division?

i was gonna ask that! *pouts*

3. anonymous

2 3 -19 -1 4 8 44 100 ________________________________ 2 11 25 99

4. anonymous

yes but its scketchy

5. anonymous

list the coefficients, which is the top line 2 3 -19 -1

6. anonymous

then since you are dividing by $x-4$ put a 4 on the side

7. anonymous

bring down the 2 to the bottom line. 2 3 -19 -1 4 _____________________________ 2

8. anonymous

$2\times 4 =8$ 2 3 -19 -1 4 8 ___________________________ 2

9. anonymous

$8+3=11$ 2 3 -19 -1 4 8 ___________________________ 2 11

10. anonymous

$4\times 11 = 44$ 2 3 -19 -1 4 8 44 ___________________________ 2 11

11. anonymous

$-19+44=25$ 2 3 -19 -1 4 8 44 ___________________________ 2 11 25

12. anonymous

$4\times 25=100$ 2 3 -19 -1 4 8 44 100 ___________________________ 2 11 25

13. anonymous

$-1+100=99$ 2 3 -19 -1 4 8 44 100 ___________________________ 2 11 25 99

14. anonymous

you have divided a polynomial of degree 3 by a polynomial of degree 1 so your answer is a polynomial of degree 2 thus $2x^2+11x+25+\frac{99}{x-4}$