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Question

Mathematics Question on Polynomials in One Variable

Classify the following as linear, quadratic and cubic polynomials:

(i) x 2 + x (ii) x – x 3 (iii) y + y 2 + 4 (iv) 1 + x (v) 3t (vi) r 2 (vii) 7x 3

Answer

**(i) ** x 2 + x is a quadratic polynomial as its degree is 2.

(ii) x – x 3 is a cubic polynomial as its degree is 3.

(iii) y + y 2 + 4 is a quadratic polynomial as its degree is 2.

(iv) 1 + x is a linear polynomial as its degree is 1.

(v) 1 + x **** is a linear polynomial as its degree is 1.

**(vi) ** r 2 is a quadratic polynomial as its degree is 2.

(vii) 7x 3 is a cubic polynomial as its degree is 3.