Question

DEGREE OF THE ZERO POLYNOMIAL IS
1

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Answer 1

Answer:

yes

Step-by-step explanation:

Mark as brain list....

Answer 2

Step-by-step explanation:

Since the zero polynomial is a constant polynomial, it might initially seem to make sense to say that it has degree zero, as is the case for other nonzero constant polynomials. However, one of the nicest facts about the degree of a polynomial (at least one with coefficients from an integral domain or field, such as Z,Q,RZ,Q,R or CC) is that it behaves well with respect to multiplication. Specifically, if f(x)f(x) and g(x)g(x) are (nonzero) polynomials, then deg(f(x)⋅g(x))=deg(f(x))+deg(g(x))deg(f(x)⋅g(x))=deg(f(x))+deg⁡(g(x)).

However, if we set the degree of the zero polynomial equal to zero, equation will not hold true. For example setting f(x)=0f(x)=0 and g(x)=xg(x)=x, the equation would yield 0=0+10=0+1, which clearly won’t do. For this reason, the degree of the zero polynomial is commonly set to be −∞−∞. Other conventions exist, for example just leaving the degree of the zero polynomial undefined, and Wikipedia notes that some people set it to −1−1.[1] I personally like the −∞−∞ convention, since the equation I cited above then holds true for all polynomials.