4. On dividing
by a polynomial g(x), the quotient and remainder were (x-2) and (-2x+4) respectively. Find g(x).
Solution:
Let p(x)=
q(x) = (x-2) and r(x) = (-2x+4).
According to Polynomial Division Algorithm, we have
p(x)=g(x).q(x)+r(x)
So, Dividing
by
, we get
Therefore, we have
muzaffar says
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angle choudary says
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