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
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
Solution and Explanation
(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.
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