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Find the remainder when x^3 + 3x^2 + 3x + 1 is divided by 5 + 2x. - Mathematics

Find the remainder when x3 + 3x2 + 3x + 1 is divided by 5 + 2x.

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Solution 1

Let p(x) = x3 + 3x2 + 3x + 1

5 + 2x = 0

⇒ 2x = -5

`⇒ x = -5/2`

`therefore "Remainder "= (-5/2)^3 + 3(-5/2)^2 + 3(-5/2) + 1`

                        `= -125/8+75/4-15/2+1`

                        `= -27/8`

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

 

Solution 2

By long division,

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

 

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APPEARS IN

NCERT Class 9 Mathematics Textbook
Chapter 2 Polynomials
Exercise 2.3 | Q 1.5 | Page 40
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