Answer to Question #163468 in Algebra for Ava Brooke

Question

( x 3 + 2 x 2 − 2 x − 1 ) ÷ ( x − 1 )

 

Answer 1

$\quad\quad\quad\quad\quad\quad\underline {\quad\quad \quad x^{2}+3x+1} \\ \quad\quad\quad \quad x-1| x^{3}+2x^{2}-2x-1\\ \quad\quad\quad\quad\quad\quad\quad\underline {x^3-x^2}\\ \quad\quad\quad\quad\quad\quad\quad\quad\quad3x^2-2x\\ \quad\quad\quad\quad\quad\quad\quad\quad\quad \underline{3x^2-3x}\\ \quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad x-1\\ \quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \underline{x-1}\\ \quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad0\\ Answer: x^2+3x+1 .$