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Maharashtra State BoardSSC (English Medium) 9th Standard

Divide polynomial 3x3 - 8x2 + x + 7 by x - 3 using synthetic method and write the quotient and remainder. - Algebra

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Question

Divide polynomial 3x3 - 8x2 + x + 7 by x - 3 using synthetic method and write the quotient and remainder.

Sum

Solution

Dividend = `3x^3 - 8x^2 + x +7`

Divisor = x - 3

Opposite of −3 = 3

The coefficient form of the quotient is (3, 1, 4).
∴ Quotient = 3x+ x + 4 and Remainder = 19

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Synthetic Division
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Chapter 3: Polynomials - Problem Set 3 [Page 56]

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