Classify the following polynomials as linear, quadratic, cubic and biq

1.	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» (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.

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»

(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.