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

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- Oct 3rd 2009, 09:20 AMagent2421Synthetic Division Help
Find the quotient and remainder by synthetic division where x^3 + 2x^2– 7x + 1 is divided by x – 1

- Oct 3rd 2009, 09:29 AMjames_bond
See this. Look at the Quotient and remainder section (click show steps).

- Oct 3rd 2009, 10:17 AMSoroban
Hello, agent2421!

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

So where is your difficulty?

Quote:

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

. . $\displaystyle \begin{array}{cccccc}1 & | & 1 & 2 & \text{-}

7 & 1 \\ & | & & 1 & 3 & \text{-}4 \\ & & -- & -- & -- & -- \\

& & 1 & 3 & \text{-}4 & \text{-}3 \end{array}$

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

The remainder is: .$\displaystyle -3$