lanerakayhall lanerakayhall
  • 03-10-2016
  • Mathematics
contestada

What is the quotient (x3 + 8) ÷ (x + 2)?

Respuesta :

Аноним Аноним
  • 03-10-2016
I hope this helps you
Ver imagen Аноним
Answer Link
virtuematane virtuematane
  • 19-03-2019

Answer:

Hence, the quotient is:

[tex]x^2+2x+4[/tex]

Step-by-step explanation:

We have to determine the quotient of the expression:

(x^3 + 8) ÷ (x + 2)

The dividend of the expression is:

x^3+8

and the divisor is:

x+2

we can write our expression as:

[tex]=\dfrac{x^3+8}{x+2}\\\\=\dfrac{x^3+2^3}{x+2}[/tex]

We know that:

[tex]a^3+b^3=(a+b)(a^2+ab+b^2)[/tex]

Hence, we have our expression as:

[tex]=\dfrac{(x+2)(x^2+4+2x)}{x+2}\\\\=x^2+2x+4[/tex]

Hence, the quotient is:

[tex]x^2+2x+4[/tex]

Answer Link

Otras preguntas

A document that contains formatting, styles, and sample text that you can use to create new documents is called a:
Why is saturn's atmosphere almost three times thicker than jupiter's?
What clues can we find about colonial lives in artwork such as paintings
What two forces can turn fossils into fossil fuels answer?
A disease that has the common term of polio and is a viral inflammation of gray matter in the spinal cord is called
What would happen to life on earth if the rates of photosynthesis and cellular respiration in all phototrophs were equal?
m^3n^-6p^0 simplify expression use positive exponents
Proper chemical storage includes
In how many ways can a music teacher arrange 24 students in 3 rows
In windows, a ______ is the software interface through which a computer communicates with a print device.