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Divide the first polynomial by the second polynomial and find the remainder using remainder theorem. (x2 − 7x + 9) ; (x + 1) - Algebra

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प्रश्न

Divide the first polynomial by the second polynomial and find the remainder using remainder theorem.

(x2 − 7x + 9) ; (x + 1)

योग

उत्तर

Let p(x) = x2 − 7x + 9

Divisor = x + 1 

∴ take x = −1

By remainder theorem, 

Remainder = p(−1)

= (−1)2 − 7 × (−1) + 9 =

1 + 7 + 9

= 17

∴ Remainder = 17

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अध्याय 3: Polynomials - Practice Set 3.5 [पृष्ठ ५३]

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बालभारती Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board
अध्याय 3 Polynomials
Practice Set 3.5 | Q (5) (i) | पृष्ठ ५३
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