Question

# 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
B
False

Solution

## The correct option is A TrueThe Remainder theorem states thatFor 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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