Answer:
The quotient of given expression is (3x+5).
Step-by-step explanation:
The given expression is
[tex]\frac{3x^2+17x-9}{x+4}[/tex]
The coefficients of dividend are 3,17 and -9.
Use synthetic division to divide [tex]3x^2+17x-9[/tex] and [tex]x+4[/tex].
The bottom row represents the coefficient of quotient and remainder.
The given expression can be written as
[tex]\frac{3x^2+17x-9}{x+4}=3x+5-\frac{29}{x+4}[/tex]
Therefore the quotient of given expression is (3x+5).
