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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता १०

Find the values of m and n if the following polynomial is a perfect square 1x4-6x3+13x2+mx+n - Mathematics

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प्रश्न

Find the values of m and n if the following polynomial is a perfect square

`1/(x^4) - 6/(x^3) + 13/(x^2) + "m"/x + "n"`

बेरीज

उत्तर


Since it is a perfect square

`1/x` (m + 12) = 0

m + 12 = 0

m = – 12

n – 4 = 0

n = 4

∴ The value of m = – 12 and n = 4

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Square Root of Polynomials
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पाठ 3: Algebra - Exercise 3.8 [पृष्ठ १०६]

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सामाचीर कलवी Mathematics [English] Class 10 SSLC TN Board
पाठ 3 Algebra
Exercise 3.8 | Q 3. (i) | पृष्ठ १०६
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