MATH SOLVE

4 months ago

Q:
# Divide. (18x^3+12x^2-3x)/6x^2A)x^2+x-1/2xB)3x+2C)3x+2 -1/2xD)3x -1/2xDivide.(2x^3-x^2-24x+12)/(2x-1)A)x^2-1B)x^2-12C)2x-1D)x^2-1/2x-12 Can anybody help?

Accepted Solution

A:

Answer:1. The correct option is C.2. The correct option is B.Step-by-step explanation:1.The given expression is[tex]\frac{18x^3+12x^2-3x}{6x^2}[/tex]Simplify the expression,[tex]\frac{18x^3}{6x^2}+\frac{12x^2}{6x^2}-\frac{3x}{6x^2}[/tex]Cancel out the common factors.[tex]3x+2-\frac{1}{2x}[/tex]Therefore option C is correct.2.The given expression is[tex]\frac{2x^3-x^2-24x+12}{2x-1}[/tex]Use grouping method to simplify the numerator.[tex]\frac{x^2(2x-1)-12(2x-1)}{2x-1}[/tex][tex]\frac{(2x-1)(x^2-12)}{2x-1}[/tex]Cancel out the common factors.[tex]x^2-12[/tex]Therefore option B is correct.