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Question

Find the number of positive real roots for equation $3x^5 - 4x^4 - 42x^3 + 56x^2 + 27x - 36 = 0$. If all the roots of above given equation are real.


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Solution

Solution: Let f(x)=3x54x442x3+56x2+27x36

According to Descartes' rule of signs,

Total number of positive real roots = No. of charges in the sign occurs at any particular terms.

f(x)=3x54x442x3+56x2+27x36

+ + +

Change Change Change

No. of positive real roots =3.


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