Question

Identify constant, linear, quadratic and cubic polynomials from the following polynomials:

(i) f(x) = 0

(ii) g(x) = 2x³ -7x +4

(iii) h(x) = -3x + 1/2

(iv) p(x) = 2x² -x +4

(v) q(x) = 4x +3

(vi) r(x) = 3x³ +4x² +5x -7

Answer 1

Given polynomial

(i) f(x) = 0 is a constant polynomial as 0 is a constant.

(ii) g(x) = 2x³ -7x +4 is a cubic polynomial as degree of the polynomial is 3. 

(iii) h(x) = -3x + 1/2 is a linear polynomial as degree of the polynomial is 1.

(iv) p(x) = 2x² -x +4 is a quadratic as the degree of the polynomial is 2. 

(v) q(x) = 4x +3 is a linear polynomial as the degree of the polynomial is 1.

(vi) r(x) = 3x³ +4x² +5x -7 is a cubic polynomial as the degree is 3.