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Find the remainder when x^3 + 3x^2 + 3x + 1 is divided by x - 1/2 - CBSE Class 9 - Mathematics

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Question

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

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" ."`

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Solution Find the remainder when x^3 + 3x^2 + 3x + 1 is divided by x - 1/2 Concept: Remainder Theorem.
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