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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
 one year ago
 one year ago
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
 one year ago
 one year ago

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DHASHNIBest ResponseYou've already chosen the best response.0
http://www.wolframalpha.com/input/?i=4x%5E5++18x%5E4+%2B+18x%5E3+%E2%89%A5+0&dataset=
 one year ago

amir.satBest ResponseYou've already chosen the best response.1
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 \[\left( 0 , 1.5 \right) \cup \left( 3 , \infty \right) \cup \ { 0 , 1.5 , 3}\]
 one year ago

RHBest ResponseYou've already chosen the best response.0
@amir.sat Sorry I don't understand :(
 one year ago

RHBest ResponseYou've already chosen the best response.0
Now I understand, so when solving the inequality, 2 graphs will be drawn before the final graph?
 one year ago

amir.satBest ResponseYou've already chosen the best response.1
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
 one year ago

RHBest ResponseYou've already chosen the best response.0
then what would be the right answer?
 one year ago

amir.satBest ResponseYou've already chosen the best response.1
all of 'em i meant the sum of each seperated graph's answer
 one year ago

amir.satBest ResponseYou've already chosen the best response.1
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
 one year ago

RHBest ResponseYou've already chosen the best response.0
So the right answer would be A ?
 one year ago

amir.satBest ResponseYou've already chosen the best response.1
oh sorry .yes it's A i didn't see the options , i just thought it's just the questions
 one year ago

RHBest ResponseYou've already chosen the best response.0
No prob. Thank you a lot!!! :)
 one year ago
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