Question

(2x^3+3x^2-19x-1) / (x-4)

Answer 1

do you know how to use synthetic division?

Answer 2

i was gonna ask that! *pouts*

Answer 3

2 3 -19 -1

4
8 44 100
________________________________
2 11 25 99

Answer 4

yes but its scketchy

Answer 5

list the coefficients, which is the top line


2 3 -19 -1

Answer 6

then since you are dividing by \[x-4\] put a 4 on the side

Answer 7

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

4
_____________________________
2

Answer 8

\[2\times 4 =8\]

2 3 -19 -1

4 8
___________________________
2

Answer 9

\[8+3=11\]
2 3 -19 -1

4 8
___________________________
2 11

Answer 10

\[4\times 11 = 44\]
2 3 -19 -1

4 8 44
___________________________
2 11

Answer 11

\[-19+44=25\]
2 3 -19 -1

4 8 44
___________________________
2 11 25

Answer 12

\[4\times 25=100\]
2 3 -19 -1

4 8 44 100
___________________________
2 11 25

Answer 13

\[-1+100=99\]
2 3 -19 -1

4 8 44 100
___________________________
2 11 25 99

Answer 14

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