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) \(\frac{1}{2}\)y7 - 12y6 + 48y5 - 10(v) 3x3 + 1(vi) 5 (vii) 20x3 + 12x2y2 + 20
Answer» (i) 2x³ + 5x² - 7 Degree is the highest power of the variable of a polynomial. In the given polynomial highest power is 3. Therefore degree of the polynomial is 3. (ii) 5x² - 3x + 2 Degree is the highest power of the variable of a polynomial. In the given polynomial highest power is 2. Therefore degree of the polynomial is 2. (iii) 2x - x² - 8 Degree is the highest power of the variable of a polynomial. In the given polynomial highest power is 2. Therefore degree of the polynomial is 2. (iv) \(\frac{1}{2}\)y⁷ - 12y⁶ + 48y⁵ - 10 Degree is the highest power of the variable of a polynomial. In the given polynomial highest power is 7. Therefore degree of the polynomial is 7. (v) 3x³ + 1 Degree is the highest power of the variable of a polynomial. In the given polynomial highest power is 3. Therefore degree of the polynomial is 3. (vi) 5 Degree is the highest power of the variable of a polynomial. In the given polynomial there is no variable term. Therefore degree of the polynomial is 0. (vii) 20x³ + 12x²y² + 20 Degree is the highest power of the variable of a polynomial. In the given polynomial highest power is 4. Therefore degree of the polynomial is 4.

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

Answer»

(i) 2x³ + 5x² - 7

Degree is the highest power of the variable of a polynomial. In the given polynomial highest power is 3.

Therefore degree of the polynomial is 3.

(ii) 5x² - 3x + 2

Degree is the highest power of the variable of a polynomial. In the given polynomial highest power is 2.

Therefore degree of the polynomial is 2.

(iii) 2x - x² - 8

Degree is the highest power of the variable of a polynomial. In the given polynomial highest power is 2.

Therefore degree of the polynomial is 2.

(iv) \(\frac{1}{2}\)y⁷ - 12y⁶ + 48y⁵ - 10

Degree is the highest power of the variable of a polynomial. In the given polynomial highest power is 7.

Therefore degree of the polynomial is 7.

(v) 3x³ + 1

Degree is the highest power of the variable of a polynomial. In the given polynomial highest power is 3.

Therefore degree of the polynomial is 3.

(vi) 5

Degree is the highest power of the variable of a polynomial. In the given polynomial there is no variable term.

Therefore degree of the polynomial is 0.

(vii) 20x³ + 12x²y² + 20

Degree is the highest power of the variable of a polynomial. In the given polynomial highest power is 4.

Therefore degree of the polynomial is 4.