Math, asked by arunkr4204, 10 months ago

find the remainder when x power 3+3xsquare + 3x +1 is devided by x-1/2

Answers

Answered by kapilsir19
3

Answer:

 {x}^{3}  + 3 {x}^{2}  + 3x + 1  \div x -  \frac{1}{2}  \\  \frac{ {x}^{2}(x + 1) + 2 {x}^{2}   + 3x + 1}{(x -  \frac{1}{2} )}  \\   \frac{ {x}^{2} (x + 1) + 2x(x + 1) + x + 1}{(x -  \frac{1}{2}) }  \\  \frac{ {x}^{2}(x + 1) + 2x(x + 1) + 1(x + 1) }{(x -  \frac{1}{2} )}  \\  \frac{(x + 1)( {x}^{2}  + 2x + 1)}{(x -  \frac{1}{2} )}  \\ (x + 1)(x + 1)(x + 1) \div( x -  \frac{1}{2} ) \\  =   ({x}^{2}  +  \frac{7x}{2} +  \frac{19}{4} ) +\frac{ \frac{27}{8} }{2}  \\  remainder =  \frac{27}{8}

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Answered by khandelwalarav153
0

Answer:

x raised to power 3 -3xsquare+3x-1 by x-1

Step-by-step explanation:

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