Question

Classify the following as constant, linear, quadratic and cubic polynomials.

(i) $2–x^2+x^3$

(ii) $3x^3$

(iii) $5t-\sqrt{7}$

(iv) $4–5y^2$

Answer 1

(i) Polynomial $2–x^2+x^3$ is a cubic polynomial because the highest exponent of x is 3.

(ii) Polynomial $3x^3$ is a cubic polynomial because the highest exponent of x is 3.

(iii) Polynomial $5t-\sqrt{7}$ is a linear polynomial because the highest exponent of t is 1.

(iv) Polynomial $4–5y^2$ is a quadratic polynomial because the highest exponent of y is 2.