# Complete the steps to solve the division problem using long division. x+1 sqrt(2x^2 +x-1)

Complete the steps to solve the division problem using long division. $x+1\sqrt{2{x}^{2}+x-1}$
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Edgeriecoereexq
The algorithm in polynomial division is very similar in dividing numbers.
First, we divide $2{x}^{2}$ by x, the first terms of the dividend and divisor, respectively to obtain 2x and will be the first term of the quotient. Multiply 2x by x+1 to obtain $2{x}^{2}+2x$ which will be subtracted from $2{x}^{2}-2x$ to obtain a remainder of -x and bring down -1.
Then, we divide -x by x (from the divisor), to obtain -1 which will be the second term of the quotient. Multiply -1 by x+1 to obtain -x-1 which will be subtracted from -x-1 to obtain a remainder of 0. The quotient is 2x-1.
Result:
2x-1