Question

3x^2+17x-9/x+4 what is the quotient

Answer 1

Answer:

The quotient of given expression is (3x+5).

Step-by-step explanation:

The given expression is

$\frac{3x^2+17x-9}{x+4}$

The coefficients of dividend are 3,17 and -9.

Use synthetic division to divide $3x^2+17x-9$ and $x+4$.

The bottom row represents the coefficient of quotient and remainder.

The given expression can be written as

$\frac{3x^2+17x-9}{x+4}=3x+5-\frac{29}{x+4}$

Therefore the quotient of given expression is (3x+5).