Question

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

Answer 1

Answer:

We have to evaluate:

  $\frac{3x^2+4 x +5}{x+5}\\\\=\frac{3x^2+15 x-11 x-55+55+5}{x+5}\\\\=\frac{3x^2+15 x-11 x-55+60}{x+5}\\\\= \frac{3 x \times (x+5)-11 \times (x+5)+60}{x+5}\\\\= \frac{3 x \times (x+5)}{x+5} -\frac{11 \times (x+5)}{x+5}+\frac{60}{x+5}\\\\= 3 x -11 +\frac{60}{x+5}$

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

Remainder = 60

Quotient = 3 x -11

Answer 2

Answer:

hello : here is a solution