Question

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 1

(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.