Find the quotient and remainder by synthetic division where x^3 + 2x^2– 7x + 1 is divided by x – 1
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: .$\displaystyle (x^3 + 2x^2 - 7x + 1) \div (x - 1)$
. . $\displaystyle \begin{array}{cccccc}1 & | & 1 & 2 & \text{-}
7 & 1 \\ & | & & 1 & 3 & \text{-}4 \\ & & -- & -- & -- & -- \\
& & 1 & 3 & \text{-}4 & \text{-}3 \end{array}$
The quotient is: .$\displaystyle x^2 + 3x - 4$
The remainder is: .$\displaystyle -3$