Will vote Brainliest! Find the quotient of the image below. Answer choices are:

A. −x^2 + 3x − 2

B.x^2 − 12x + 4

C. −x^2 − 3x + 2

D. x^2 + 12x − 4

Will vote Brainliest Find the quotient of the image below Answer choices areA x2 3x 2Bx2 12x 4C x2 3x 2D x2 12x 4 class=

Respuesta :

Answer:

Answer is A.  

Step-by-step explanation:

You get -x^2+3x-2 when simplifying the equation.

Answer:

A. -x^2 + 3x -2

Step-by-step explanation:

We have the expression:

(4x^3 - 12x^2 + 8x)/(-4x)

When we are dividing we can change the division into shorter expressions:

[tex]\frac{4x^3}{-4x}[/tex] - [tex]\frac{12x^2}{-4x}[/tex] + [tex]\frac{8x}{-4x}[/tex]

After we change the expression to make the divisions shorter we can start solving each part individually, dividing the numbers and the variables; to divide variables we rest the exponent of the numerator by the exponent of the same variable in the denominator, for example:

if we have

x^n / x^m = x^n-m

or if we change it by numbers it will be:

x^3 / x^2 = x^3-2 = x^1 = x

Now, solving the expression we get:

-x^2 + 3x - 2

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