Question

Divide the polynomial f(x)=3x^2-x^3-3x+5 by the polynomial g(x)=x-1-x^2 and verify the division algorithem

Answer 1

Answer:

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Answer 2

Answer:

q(x)= x-2

r(x)=3

Step-by-step explanation:

-x²+x-1 ) -x³+3x²-3x+5 (x-2

              -x³+x²-x

             +    -    +

           -----------------

             2x²-2x+5

            2x²-2x+2

           -     +     -

          --------------

                 3

           -------------

DIVISION ALGORITHEM:-

f(x)=g(x)*q(x)+r(x)

-x³+3x²-3x+5= (-x²+x-1)(x-2)+3

-x³+3x²-3x+5 = -x³+x²-x+2x²-2x+2+3

-x³+3x²-3x+5=-x³+3x²-3x+5

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