Question

Divide using synthetic division, and write a summary statement in fraction form. 2x^3-3x^2-5x+4/x-2

Answer 1

so do you know how to do synthetic division?

Answer 2

Roughly

Answer 3

I start to get confused

Answer 4

well, we grab the coefficients of the dividend first and stick them on the right-hand side

the divisor goes to the left-hand side

and then we drop the 1st coefficient down

then we multiply the divisor by the "dropped coefficient" and our product goes below the next term

notice that our divisor is x - 2, so x - 2 = 0, or x = 2

so we'll be using +2

\(\begin{array}{rrrrrr}
2&|&2&-3&-5&4\\
&|&&4\\
\hline\\
&|&2
\end{array}\)