anonymous
  • anonymous
please help solve this F(x)= x2 -5x-36
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!
anonymous
  • anonymous
solve what? this is a function. what do you want to do with it?
anonymous
  • anonymous
zero of the polynomial function
sandra
  • sandra
is the first term x^2?

Looking for something else?

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

More answers

anonymous
  • anonymous
yes
sandra
  • sandra
ok, so you want to know what numbers multiply to get -36 but add to get -5
anonymous
  • anonymous
ok (x-9) and (X+4)
sandra
  • sandra
so options for -36 = (-1, 36), (-2,18), (-3,12), (-6,6), (-9,4), (-12,3)... so on
sandra
  • sandra
exactly!
anonymous
  • anonymous
thats as far as I got
sandra
  • sandra
so (x-9) * (x+4) distributes to get the right side of the equation
sandra
  • sandra
so what values could x have to make the factored version multiple to zero? it's whatever makes the individual factored terms "0" - since anything multiplied by zero is 0
sandra
  • sandra
so the first one is (x-9) = 0 OR (x+4) = 0 - those are the roots, solve for x in each case
sandra
  • sandra
in the first case, x=9, since (9-9)=0, and 0*(x+4) = 0. So 9 is one root
sandra
  • sandra
what is the other one? it's the number that makes (x+4) = 0
sandra
  • sandra
so you can do that =)
anonymous
  • anonymous
-4
anonymous
  • anonymous
x=-4
sandra
  • sandra
exactly, so you have your two roots =). 9 and -4
sandra
  • sandra
So the entire thought process is: 1. F(x)= x^2 -5x-36 - find the roots - ok so that means what values of x makes F(X)=0 2. Oh crap, that's hard to just guess and check. I better factor it. 3. F(x) = (x-9)*(x+4) //factored and equivalent 4. OK, so now it's easy to see. The function will equal zero when either (X-9) =0 , OR (x+4) =0. 5. x=9, or x=-4
anonymous
  • anonymous
ok, so is that the answer
sandra
  • sandra
yes
sandra
  • sandra
zero means "where does the function = 0". so you found both places
anonymous
  • anonymous
oh ok thank you very much for you help
sandra
  • sandra
np good luck!

Looking for something else?

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