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Coefficients of Terms of a Polynomial

If a x2+b x+c...

Question

If ax² + bx + c is a monomial in x, what can be said about a, b and c?

Atleast one of a,b and c is non - zero.

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Only one among a, b and c is zero.

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Only one among a, b and c is non - zero.

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All three should be non - zero

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Solution

The correct option is C
Only one among a, b and c is non - zero.

Since a monomial can contain one term and only one term, only one of a, b and c can be non zero.

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If $a (x)^{2} + b x + c$ is a monomial in $x$ , what can be said about $a$ , $b$ and $c$ ?

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