Question

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

(i) 2x² + 3 x + 1 (ii) $5p$ (iii) $\sqrt{2}y-\frac{1}{2}$ (iv) $m^3+7m^2+\frac{5}{2}m-\sqrt{7}$ (v) $a^2$ (vi) $3r^3$

Answer 1

(i)
The degree of the polynomial 2x² + 3x + 1 is 2.

So, the polynomial 2x² + 3x + 1 is a quadratic polynomial.

(ii)
The degree of the polynomial 5p is 1.

So, the polynomial 5p is a linear polynomial.

(iii)
The degree of the polynomial $\sqrt{2}y-\frac{1}{2}$ is 1.

So, the polynomial $\sqrt{2}y-\frac{1}{2}$ is a linear polynomial.

(iv)
The degree of the polynomial $m^3+7m^2+\frac{5}{2}m-\sqrt{7}$ is 3.

So, the polynomial $m^3+7m^2+\frac{5}{2}m-\sqrt{7}$ is a cubic polynomial.

(v)
The degree of the polynomial a² is 2.

So, the polynomial a² is a quadratic polynomial.

(vi)
The degree of the polynomial 3r³ is 3.

So, the polynomial 3r³ is a cubic polynomial.