Given:
The expression is:
[tex]\frac{-10x^3-19x^2+6x^4+14+9x}{-2x^2+1}[/tex]
Required:
Divide by using the long division method.
Explanation:
Rearrange the expression in decreasing the power of the exponent.
[tex]\frac{6x^4-10x^3-19x^2+9x+14}{-2x^2+1}[/tex]
Now divide by using the long division method.
So the quotient is
[tex]-3x^2+5x+8[/tex]
and the remainder is 4x+6.
Final Answer:
[tex]\frac{6x^{4}-10x^{3}-19x^{2}+9x+14}{-2x^{2}+1}=-3x^2+5x+8+\frac{4x+6}{-2x^2+1}[/tex]
