Which answer is equal to the quotient in the expression below?

Question

(2x³ - x²) (x²)

 

A.2x - 3x

B.2x² - 3x

C.2x² + x

D.

2x - 1

Answer 1

hi Juan,

 

first ask youself is there a common factor in the numerator

 

2x³ - x²

 

and the answer is yes,  what is it?

 

it is x²

 

so lets factor it out

 

x²(2x-1)        now we can put this over our denominator of x²

 

x²(2x-1)/x²     we have the same value x² in both the numerator and denominator and can cancel it out

 

and we are then left with

 

2x-1

 

Hope this helps

Answer 2

(2x³ - x²) ÷ x² = (2x³)/(x²) - (x²)/(x²)

 

                           = 2x - 1