The expression p(x)=g(x).q(x)+r(x) is known as
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Answer:
Let p(x) and g(x) be two polynomials
If g(x) is any polynomial then it can divide p(x) by q(x) where 0<q(x) and may get a remainder say r(x).
If g(x) perfectly divides p(x) by q(x), then r(x)=0.
It is obvious that deg r(x)<deg g(x).
∴ we can find polynomial q(x) and r(x) such that
p(x)=q(x)q(x)+r(x), where r(x)=0 or deg r(x)<deg g(x)
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Answer:
factor theorem
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