A polynomial whose coefficients are all equal to _______ is called zero polynomial.

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Solution

The correct option is D $0$
Consider the polynomial, $p (x) = a x^{2} + b x + c$ , if $a = b = c = 0$ then the expression becomes zero polynomial.

Therefore, zero polynomial can be written as $p (x) = 0$ .

Hence, the constant polynomial whose coefficients are all equal to $0$ is called a zero polynomial.

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Similar questions

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A quadratic polynomial whose zeroes are \frac{3}{4} and \frac{1}{2} is

Column I	Column II
(a) The polynomial whose zeros are 2 and −3 is ......... .	(p) x²− 4x + 1
(b) The polynomial whose zeros are $(2 + \sqrt{3}) and (2 - \sqrt{3})$ is ......... .	(q) $x^{2} - 2 \sqrt{3} x + 2$
(c) The polynomial whose zeros are $\frac{3}{2} and - \frac{1}{2}$ is ......... .	(r) x² + x − 6
(d) The polynomial whose zeros are $(\sqrt{3} + 1) and (\sqrt{3} - 1)$	(s) 4x²− 4x − 3

\frac{1}{2}

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