Math, asked by jobpsleen, 1 year ago

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Answers

Answered by siddhartharao77
4
Given f(x) = 3x^3 - 2x^2 + 5x - 5, 

g(x) = 3x + 1

Divide f(x) by g(x).


              x^2 - x + 2
           -----------------------------
3x + 1) 3x^3 - 2x^2 + 5x - 5

           3x^3 + x^2

           -----------------------------

                      -3x^2 + 5x - 5

                      -3x^2 -  x

             --------------------------------

                                    6x - 5

                                    6x + 2

              -------------------------------------

                                              -7.



Dividend = 3x^3 - 2x^2 + 5x - 5.

Divisor = 3x + 1.

Quotient = x^2 - x + 2.

Remainder = -7.


Verification:

Dividend = Divisor * Quotient + Remainder

                = (3x + 1) * (x^2 - x + 2) + (-7)

                = (3x^3 - 3x^2 + 6x + x^2 - x + 2) + (-7)

                = 3x^3 - 2x^2 + 5x - 5

                = Dividend



Hope this helps!

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Answered by kuldeepkauraujla1976
17
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