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
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Step-by-step explanation:
We know that the linear polynomial has degree 1; quadratic polynomial has degree 2 and cubic polynomial has degree 3. Now,
(i) x2 + x, this is a quadratic polynomial as its degree is 2.
(ii) x – x3, this is a cubic polynomial as its degree is 3.
(iii) y + y2 + 4, this is a quadratic polynomial as its degree is 2.
(iv) 1 + x, it is a linear polynomial because of degree 1.
(v) 3t, it is a linear polynomial because of degree 1.
(vi) r2, it is a quadratic polynomial because the degree is 2.
(vii) 7x3, this is a cubic polynomial as its degree is 3.
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