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Say true or false:
For polynomials $$p(x)$$ and any non-zero polynomial $$g(x)$$, there are polynomials $$q(x)$$ and $$r(x)$$ such that $$p(x)=g(x)q(x)+r(x)$$, where $$r(x)=0$$ or degree $$r(x)<$$ degree $$g(x).$$ This statement is correctly explains the remainder theorem.


A
True
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B
False
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Solution

The correct option is A True
The Remainder theorem states that
For polynomials $$p(x)$$ and any non-zero polynomial $$g(x)$$, there are polynomials $$q(x)$$ and $$r(x)$$ such that $$p(x)=g(x)q(x)+r(x)$$, where $$r(x)=0$$ or degree $$r(x)<$$ degree $$g(x).$$
So, the given statement is the statement of Remainder theorem.
Hence, the given statement correctly explains the remainder theorem.

Mathematics

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