Question

divide the polynomial f(x)= 3x² - 3x + 5 by the polynomial g(x) = x-1 - x² by long division​

Answer 1

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Answer 2

Step-by-step explanation:

Given data :- Given Polynomial , f(x)=3x

2

−x

3

−3x+5

g(x)=x−1−x

2

Solution :-

Ref. image

Now, to verify the division algorithm.

f(x)=g(x).p(x)+r(x)

=(−x

2

+x−1)(x−2)+3...(p(x)=(x−2) &

=−x

3

+2x

2

+x

2

−2x+2+3−x

=−x

3

+3x

2

−3x+5

Hence its verified.

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