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Question

Identify polynomials in the following :

(i) f(x) = 4x3 x2 - 3x + 7

(ii) g(x) = 2x33x2+x1

(iii) p(x) = 27x274x+9

(iv) q(x) = 2x23x+4x+2

(v) h(x) = x4x32+x1

(vi) f(x) = 2 +3x+4x

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Solution

(i) f(x) : It is a polynomial.

(ii) g(x) : It is not a polynomial as degree of x is not a positive integer.

(iii) p(x)=27x274x+9 It is a polynomial.

(iv) q(x) = 2x23x+4x+2

= 2x23x+4x1+2

It is not a polynomial as degree of 4x1 is not a positive integer.

(v) h(x) = x4x32 + x -1

It is not a polynomial as degree of x is no a positive integer.

(vi) f(x) = 2 +3x+4x=2+3x1+4x

It is not a polynomial as degree of x1 is not a positive integer.


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