juju3636 juju3636
  • 16-01-2019
  • Mathematics
contestada

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

Respuesta :

dhiab
dhiab dhiab
  • 17-01-2019

Answer:

hello : here is a solution




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Аноним Аноним
  • 13-06-2019

Answer:

We have to evaluate:

  [tex]\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}[/tex]

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

Remainder = 60

Quotient = 3 x -11

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