Answer:
The quotient of given expression is [tex]3 x^2 + 43 x + 271[/tex].
Step-by-step explanation:
The given expression is
[tex]\frac{3x^4+22x^3+37}{x^2-7x+10}[/tex]
In the given expression
[tex]Dividend=3x^4+22x^3+37[/tex]
[tex]Divisor=x^2-7x+10[/tex]
Use long division method to find the quotient.
[tex]\frac{3x^4+22x^3+37}{x^2-7x+10}=3 x^2 + 43 x + 271+\frac{1467 x - 2673}{x^2-7x+10}[/tex]
Therefore the quotient of given expression is [tex]3 x^2 + 43 x + 271[/tex].
