Respuesta :

Answer:

The quotient is: 2x+1/2

Step-by-step explanation:

We need to find the quotient of x+4x^2 ÷ 2 x

First arrange the divisor x+4x^2 in descending order of exponents.

4x^2 + x ÷ 2 x

The division is shown in the figure attached.

The quotient is: 2x+1/2

Ver imagen absor201

For this case we must find the quotient of the following expression:

[tex]\frac {x + 4x ^ 2} {2x}[/tex]

So, we have:

[tex]\frac {x} {2x} + \frac {4x ^ 2} {2x} =\\\frac{1}{2}+ 2x[/tex]

By ordering the expression we have:

[tex]\frac{1}{2}+2x[/tex]

The quotient of the expression is

[tex]\frac{1}{2}+2x[/tex]

Answer:

The quotient of the expression is

[tex]\frac{1}{2}+2x[/tex]