anonymous
  • anonymous
When solving the polynomial inequality 4x^5 - 18x^4 + 18x^3 ≥ 0 how many graphs will you draw before you draw your final graph? A. two B. four C. five D. six
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Please help! :(
anonymous
  • anonymous
http://www.wolframalpha.com/input/?i=4x%5E5+-+18x%5E4+%2B+18x%5E3+%E2%89%A5+0&dataset=
anonymous
  • anonymous
4x^5 - 18x^4 + 18x^3 ≥ 0 divide it by x^2 so it's 4x^3 - 18x^2 + 18x ≥ 0 for the x>0 it's 4x^2 - 18x + 18 ≥ 0 (first graph) and for the x <0 it's 4x^2 - 18x + 18 < 0 (second graph) if you draw the first graph the the impossible rations for x>0 is \[\left( 0 , 1.5 \right) \cup \left( 3 , \infty \right) \cup \ { 0 , 1.5 , 3}\] but the second graph for the x<0 doesn't have any rations so the total answer is \[\left( 0 , 1.5 \right) \cup \left( 3 , \infty \right) \cup \ { 0 , 1.5 , 3}\]

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anonymous
  • anonymous
@amir.sat Sorry I don't understand :(
anonymous
  • anonymous
which part?
anonymous
  • anonymous
Now I understand, so when solving the inequality, 2 graphs will be drawn before the final graph?
anonymous
  • anonymous
the point is that you divide an inequality by variable that can be negative you should separate it to two inequality one for the negative variable and one for the positive variable
anonymous
  • anonymous
Hmm... ok
anonymous
  • anonymous
then what would be the right answer?
anonymous
  • anonymous
all of 'em i meant the sum of each seperated graph's answer
anonymous
  • anonymous
Sorry, I am confused:(
anonymous
  • anonymous
you separated the inequality into two inequality when you divide it by a variable i meant the answer is the sum of the separated inequality's answer
anonymous
  • anonymous
So the right answer would be A ?
anonymous
  • anonymous
oh sorry .yes it's A i didn't see the options , i just thought it's just the questions
anonymous
  • anonymous
No prob. Thank you a lot!!! :)
anonymous
  • anonymous
ur welcome

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