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Question

Classify the following as constant, linear, quadratic and cubic polynomials.

(i) 2x2+x3

(ii) 3x3

(iii) 5t7

(iv) 45y2

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Solution

(i) Polynomial 2x2+x3 is a cubic polynomial because the highest exponent of x is 3.

(ii) Polynomial 3x3 is a cubic polynomial because the highest exponent of x is 3.

(iii) Polynomial 5t7 is a linear polynomial because the highest exponent of t is 1.

(iv) Polynomial 45y2 is a quadratic polynomial because the highest exponent of y is 2.

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