Question

Classify the following as linear, quadratic and cubic polynomials:
(i) x² + x
(ii) x – x³
(iii) y + y² + 4
(iv) 1 + x

Answer 1

(i) x² +x
∵ The degree of x² + x is 2
∴ It is a quadratic polynomial.
(ii) x – x³
∵ The degree of x – x³ is 3
∴ It is a cubic polynomial.
(iii) y + y² + 4
∵ The degree of y + y² + 4 is 2.
∴ It is a quadratic polynomial.
(iv) 1 + x
∵ The degree of 1 + x is 1.
∴ It is a linear polynomial.