The degree of the zero polynomial is

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(A) The zero polynomial is defined as the polynomial $P(x) = 0$. By definition,the degree of a non-zero constant polynomial is $0$,but for the zero po

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Not defined

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(A) The zero polynomial is defined as the polynomial $P(x) = 0$. By definition,the degree of a non-zero constant polynomial is $0$,but for the zero polynomial,the degree is not defined because any power of the variable $x$ multiplied by $0$ results in $0$ (i.e.,$0 \cdot x^n = 0$ for any $n \ge 0$). Therefore,the degree of the zero polynomial is not defined. Hence,the correct option is $(A)$.

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The degree of the zero polynomial is

Similar Questions

Classify the following as linear,quadratic,and cubic polynomials:$(i)$ $1+x$$(ii)$ $3t$$(iii)$ $r^{2}$$(iv)$ $7x^{3}$

Is the following expression a polynomial? Justify your answer:$\frac{1}{5 x^{-2}}+5 x+7$

Write the coefficient of $x^{2}$ in the following polynomial:$\pi x^{2}-\frac{22}{7} x+3.14$

Write the degree of each of the following polynomials:$(i)$ $5t - \sqrt{7}$$(ii)$ $3$

Write the coefficients of $x^2$ in each of the following:$(i)$ $\frac{\pi}{2} x^2 + x$$(ii)$ $\sqrt{2} x - 1$