# Synthetic Division Help

• October 3rd 2009, 09:20 AM
agent2421
Synthetic Division Help
Find the quotient and remainder by synthetic division where x^3 + 2x^2– 7x + 1 is divided by x – 1

• October 3rd 2009, 09:29 AM
james_bond
See this. Look at the Quotient and remainder section (click show steps).
• October 3rd 2009, 10:17 AM
Soroban
Hello, agent2421!

If you know Synthetic Division, the problem is straight-forward.

Quote:

Find the quotient and remainder by synthetic division for: . $(x^3 + 2x^2 - 7x + 1) \div (x - 1)$

. . $\begin{array}{cccccc}1 & | & 1 & 2 & \text{-}
7 & 1 \\ & | & & 1 & 3 & \text{-}4 \\ & & -- & -- & -- & -- \\
& & 1 & 3 & \text{-}4 & \text{-}3 \end{array}$

The quotient is: . $x^2 + 3x - 4$

The remainder is: . $-3$