Question

Simplify completely 12x3-4x2+8x / -2x

Answer 1

-6x² + 2x - 4

Explanation:

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

Step 1:

First, group the integers together and divide those:

`(12)/(-2)` = -6

`(-4)/(-2)` = 2 (since 4 is also a negative number, you will turn the (-) sign into a (+) sign given the rule that two negatives = a positive.)

`(8)/(-2)` = -4

Step 2:

Next, group the variables and divide those (when in division, you will subtract the exponents instead of dividing):

`(x^3)/(x)` = x²

`(x^2)/(x)` = x (when there is only a variable and no exponent, you can assume 1 as it's exponent.)

`(x)/(x)` =
`x^0` = 0

Step 3:

Combine the integers and variables in the order given and you will get:

-6x² + 2x - 4

Answer 2

`(12x^3-4x^2+8x)/(-2x)=(12x^3)/(-2x)+(-4x^2)/(-2x)+(8x)/(-2x)\\\\=-6x^2+2x-4`