Which of the following expressions is a factor of the polynomial x ^ 2 +3/2 x - 1?
A. x-1/2
B. x-2
C. x-1
D. x+3/2

Question

Which of the following expressions is a factor of the polynomial x ^ 2 +3/2 x - 1?
A. x-1/2
B. x-2
C. x-1
D. x+3/2

falling_in_katt · Answer

@Luigi0210

luigi0210 · Answer

Is it this? 

$\large x^2+\frac{3}{2}x-11$?

luigi0210 · Answer

Whoops, that's suppose to be 1 not 11

falling_in_katt · Answer

yes

luigi0210 · Answer

If you know synthetic division it would work great here

falling_in_katt · Answer

I have no clue how to do that.

luigi0210 · Answer

Well synthetic division is another way of doing long division. 

All you have to do is take the coefficients of the polynomial and write in an upside down division bar like so: 

|dw:1436559961111:dw|

Since the coefficients of $x^2+3/2 x -1 $ are 1, 3/2, and -1

On left you put what you are dividing by, so let's try x-1/2

$x-\frac{1}{2}=0 $ so $x=\frac{1}{2} $

|dw:1436560076049:dw|