Question

Divide. (18x^3+12x^2-3x)/6x^2

A)x^2+x-1/2x
B)3x+2
C)3x+2 -1/2x
D)3x -1/2x


Divide.(2x^3-x^2-24x+12)/(2x-1)
A)x^2-1
B)x^2-12
C)2x-1
D)x^2-1/2x-12


Can anybody help?

Answer 1

1. The correct option is C.

2. The correct option is B.

Explanation:

1.

The given expression is

`(18x^3+12x^2-3x)/(6x^2)`

Simplify the expression,

`(18x^3)/(6x^2)+(12x^2)/(6x^2)-(3x)/(6x^2)`

Cancel out the common factors.

`3x+2-(1)/(2x)`

Therefore option C is correct.

2.

The given expression is

`(2x^3-x^2-24x+12)/(2x-1)`

Use grouping method to simplify the numerator.

`(x^2(2x-1)-12(2x-1))/(2x-1)`

`((2x-1)(x^2-12))/(2x-1)`

Cancel out the common factors.

`x^2-12`

Therefore option B is correct.