Write the degree of each of the following polynomials:(i) 2x3 + 5x2

1.	Write the degree of each of the following polynomials:(i) 2x3 + 5x2 – 7(ii) 5x2 – 3x + 2(iii) 2x + x2 – 8(iv) 1/2y7 – 12y6 + 48y5 – 10(v) 3x3 + 1(vi) 5(vii) 20x3 + 12x2y2 – 10y2 + 20
Answer» (i) 2x³ + 5x² – 7 We know that in a polynomial, degree is the highest power of the variable. The degree of the polynomial, 2x³ + 5x² – 7 is 3. (ii) 5x² – 3x + 2 The degree of the polynomial, 5x² – 3x + 2 is 2. (iii) 2x + x² – 8 The degree of the polynomial, 2x + x² – 8 is 2. (iv) 1/2y⁷ – 12y⁶ + 48y⁵ – 10 The degree of the polynomial, 1/2y⁷ – 12y⁶ + 48y⁵ – 10 is 7. (v) 3x³ + 1 The degree of the polynomial, 3x³ + 1 is 3 (vi) 5 The degree of the polynomial, 5 is 0 (since 5 is a constant number). (vii) 20x³ + 12x²y² – 10y² + 20 The degree of the polynomial, 20x³ + 12x²y² – 10y² + 20 is 4.

Write the degree of each of the following polynomials:(i) 2x3 + 5x2 – 7(ii) 5x2 – 3x + 2(iii) 2x + x2 – 8(iv) 1/2y7 – 12y6 + 48y5 – 10(v) 3x3 + 1(vi) 5(vii) 20x3 + 12x2y2 – 10y2 + 20

Answer»

(i) 2x³ + 5x² – 7

We know that in a polynomial, degree is the highest power of the variable.

The degree of the polynomial, 2x³ + 5x² – 7 is 3.

(ii) 5x² – 3x + 2

The degree of the polynomial, 5x² – 3x + 2 is 2.

(iii) 2x + x² – 8

The degree of the polynomial, 2x + x² – 8 is 2.

(iv) 1/2y⁷ – 12y⁶ + 48y⁵ – 10

The degree of the polynomial, 1/2y⁷ – 12y⁶ + 48y⁵ – 10 is 7.

(v) 3x³ + 1

The degree of the polynomial, 3x³ + 1 is 3

(vi) 5

The degree of the polynomial, 5 is 0 (since 5 is a constant number).

(vii) 20x³ + 12x²y² – 10y² + 20

The degree of the polynomial, 20x³ + 12x²y² – 10y² + 20 is 4.