Question

What is the quotient? x+5 divided by 3x2+4x+5

Answer 1

hello : here is a solution

Answer 2

We have to evaluate:

`(3x^2+4 x +5)/(x+5)\\\\=(3x^2+15 x-11 x-55+55+5)/(x+5)\\\\=(3x^2+15 x-11 x-55+60)/(x+5)\\\\= (3 x * (x+5)-11 * (x+5)+60)/(x+5)\\\\= (3 x * (x+5))/(x+5) -(11 * (x+5))/(x+5)+(60)/(x+5)\\\\= 3 x -11 +(60)/(x+5)`

Now the degree of numerator is less than degree of the denominator, so, further evaluation is not possible.

Remainder = 60

Quotient = 3 x -11