If a x 2- bx - c is a monomial in x- what can be said about a - b and C -A- Atleast one of a- b and c is non - zero-B- All three should be non - zeroC- Only one among a - b and c is zero-D- Only one among a - b and c is non - zero-

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Types of Polynomials

If a x 2+ bx ...

Question

If $a (x)^{2} + b x + c$ 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

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

x^{3} + a x^{2} - b x + c

x^{3} + a x^{2} - b x + c

\to a, \to b, \to c, (\to a \times \to b) . \to c = ∣ ∣ \to a ∣ ∣ ∣ ∣ ∣ \to b ∣ ∣ ∣ ∣ ∣ \to c ∣ ∣

\to a, \to b, \to c; ∣ ∣ ∣ (\to a \times \to b) \cdot \to c ∣ ∣ ∣ = ∣ ∣ \to a ∣ ∣ ∣ ∣ ∣ \to b ∣ ∣ ∣ ∣ ∣ \to c ∣ ∣

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