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Question

Identify constant, linear, quadratic and cubic polynomials from the following polynomials :

(i) f(x) = 0

(ii) g(x) = 2x3 - 7x + 4

(iii) h(x) = - 3x + 12

(iv) p(x) = 2x2 - x + 4

(v) q(x) = 4x + 3

(vi) r(x) = 3x3+4x2 + 5x - 7

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Solution

(i) f(x) = 0 : It is a constant polynomial as it has no variable.

(ii) g(x) = 2x3 - 7x + 4 : It is a cubic polynomial.

(iii) h(x) = - 3x+12 : It is a linear polynomial.

(iv) p(x) = 2x2 - x + 4 : It is a quadratic polynomial.

(v) q(x) = 4x + 3 : It is linear polynomial.

(vi) r(x) = 3x3 + 4x2 + 5x - 7 : It is a cubic polynomial.


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