Question

Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:

(i) x + x2 + 4

(ii) 3x – 2

(iii) 2x + x2

(iv) 3y

(v) t2 + 1

(v) 7t4 + 4t3 + 3t – 2

Answer 1

(i) x + x2 + 4: It is a quadratic polynomial as its degree is 2.

(ii) 3x – 2 : It is a linear polynomial as its degree is 1.

(iii) 2x + x2: It is a quadratic polynomial as its degree is 2.

(iv) 3y: It is a linear polynomial as its degree is 1.

(v) t2+ 1: It is a quadratic polynomial as its degree is 2.

(vi) 7t4 + 4t3 + 3t – 2: It is a biquadratic polynomial as its degree is 4.