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

Answer 1

@Luigi0210

Answer 2

Is it this?

\(\large x^2+\frac{3}{2}x-11\)?

Answer 3

Whoops, that's suppose to be 1 not 11

Answer 4

yes

Answer 5

If you know synthetic division it would work great here

Answer 6

I have no clue how to do that.

Answer 7

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:



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 \(x=\frac{1}{2} \)