Question

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

Answer 1

I hope this helps you

Answer 2

Answer:

Hence, the quotient is:

$x^2+2x+4$

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:

$=\dfrac{x^3+8}{x+2}\\\\=\dfrac{x^3+2^3}{x+2}$

We know that:

$a^3+b^3=(a+b)(a^2+ab+b^2)$

Hence, we have our expression as:

$=\dfrac{(x+2)(x^2+4+2x)}{x+2}\\\\=x^2+2x+4$

Hence, the quotient is:

$x^2+2x+4$