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Find the remainder when x^3 + 3x^2 + 3x + 1 is divided by x. - Mathematics

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Find the remainder when x3 + 3x2 + 3x + 1 is divided by x.

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Solution 1

Let p(x) = x3 + 3x2 + 3x + 1

x = 0

∴ Remainder = (0)3 + 3(0)2 + 3(0) + 1

                   = 1

Therefore, the remainder is 1.

Solution 2

By long division,

Therefore, the remainder is 1.

Concept: Remainder Theorem
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APPEARS IN

NCERT Class 9 Maths
Chapter 2 Polynomials
Exercise 2.3 | Q 1.3 | Page 40
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