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Find the exact number of real zeros and imaginary of the polynomial x9 + 9x7 + 7x5 + 5x3 + 3x - Mathematics

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प्रश्न

Find the exact number of real zeros and imaginary of the polynomial x9 + 9x7 + 7x5 + 5x3 + 3x

योग

उत्तर

P(x) = x9 + 9x7 + 7x5 + 5x3 + 3x.

There is no change in the sign of P(x) and P(– x), P(x) has no positive and no negative real roots, but 0 is the root of the polynomial equation P(x).

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Descartes Rule
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Theory of Equations - Exercise 3.6 [पृष्ठ १२७]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
अध्याय 3 Theory of Equations
Exercise 3.6 | Q 5 | पृष्ठ १२७
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