Falling_In_Katt
  • Falling_In_Katt
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
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Falling_In_Katt
  • Falling_In_Katt
@Luigi0210
Luigi0210
  • Luigi0210
Is it this? \(\large x^2+\frac{3}{2}x-11\)?
Luigi0210
  • Luigi0210
Whoops, that's suppose to be 1 not 11

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Falling_In_Katt
  • Falling_In_Katt
yes
Luigi0210
  • Luigi0210
If you know synthetic division it would work great here
Falling_In_Katt
  • Falling_In_Katt
I have no clue how to do that.
Luigi0210
  • Luigi0210
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|
Luigi0210
  • Luigi0210
To solve, just bring down the first number: |dw:1436560162906:dw| Now just multiply by the left number and add it to the next number: |dw:1436560201845:dw|
Luigi0210
  • Luigi0210
And just continue on till you get to the end: |dw:1436560295604:dw| And if you end up getting 0, then it means that it is a factor, so \(\large x-\frac{1}{2} \) is a factor.
Falling_In_Katt
  • Falling_In_Katt
Oh..
Luigi0210
  • Luigi0210
If you don't know synthetic division you can always go the quadratic formula way: \(\Large \frac{- b \pm \sqrt{b^2 -4ac}}{2a}\) But knowing synthetic division would be great for you.
Falling_In_Katt
  • Falling_In_Katt
okay

Looking for something else?

Not the answer you are looking for? Search for more explanations.