Synthetic Division Help

**agent2421** · October 3rd 2009, 09:20 AM

Find the quotient and remainder by synthetic division where x^3 + 2x^2– 7x + 1 is divided by x – 1

**james_bond** · October 3rd 2009, 09:29 AM

See this. Look at the Quotient and remainder section (click show steps).

**Soroban** · October 3rd 2009, 10:17 AM

Hello, agent2421!

If you know Synthetic Division, the problem is straight-forward.
So where is your difficulty?

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

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

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

The remainder is: . $-3$

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