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

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Find the remainder when x3 + 3x2 + 3x + 1 is divided by `x - 1/2`

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Solution 1

Let p(x) = x3 + 3x2 + 3x + 1

`x-1/2 = 0 ⇒ x = 1/2`

`therefore "Remainder "= (1/2)^3 + 3(1/2)^2 + 3(1/2) + 1`

                        `= 1/8 +3/4+3/2+1`

                        `= 27/8`

Therefore, the remainder is `27/8" ."`

Solution 2

By long division,

Therefore, the remainder is `27/8" ."`

Concept: Remainder Theorem
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APPEARS IN

NCERT Class 9 Maths
Chapter 2 Polynomials
Exercise 2.3 | Q 1.2 | Page 40
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