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Prove that (X-3) is a Factor of X3 - X2 - 9x +9 and Hence Factorize It Con-1pletely - Mathematics

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प्रश्न

Prove that (x-3) is a factor of x3 - x2 - 9x +9 and hence factorize it completely. 

बेरीज

उत्तर

If x - 3 assumed to be factor, then x = 3. Substituting this in problem polynomial, we get: 

f(3) = 3 × 3 × 3 - 3 × 3 - 9 × 3 + 9 = 0

Hence its proved that x - 3 is a factor of the polynomial.

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पाठ 10: Remainder And Factor Theorems - Exercise 10.1

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फ्रँक Mathematics - Part 2 [English] Class 10 ICSE
पाठ 10 Remainder And Factor Theorems
Exercise 10.1 | Q 18

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