Question

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

Answer 1

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

Explanation:

The given expression is

`(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

`(3x^2+17x-9)/(x+4)=3x+5-(29)/(x+4)`

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