Dividend is
.
Divisor is
.
Rewrite the expression in the long division form
.
Divide the first term of the dividend by the first term of the divisor
.
So, the first term of the quotient is
.
Multiply
by
and subtract.

Divide the first term of the last row by the first term of the divisor
.
So, the second term of the quotient is
.
Multiply
by
and subtract.

Divide the first term of the last row by the first term of the divisor
.
So, the second term of the quotient is
.
Multiply
by
and subtract.

\
The number along the bottom row are the coefficients of the quotient.
\Thus, the result is 
.
Rewrite the polynomial
.
Now factorize the quadratic equation
.




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