# Write the degree of the polynomial for each of the following.i. 5 + 3x4ii. 7iii. ax7 + bx9 (a, b are constants)

i. The degree of a polynomial is the highest degree of its monomials (individual terms) with non-zero coefficients.
Here,

3x4 + 0.x3 + 0.x2 + 0.x + 5

Therefore, the degree of this polynomial is 4

ii. The degree of a polynomial is the highest degree of its monomials (individual terms) with non-zero coefficients.

Here,

7x0.

Therefore, the degree of this polynomial is 0

iii. The degree of a polynomial is the highest degree of its monomials (individual terms) with non-zero coefficients.

Here,

b.x9 + 0.x8 + a.x7 + 0.x6 + 0.x5 + 0.x4 + 0.x3 + 0.x2 + 0.x1 + 1

Therefore, the degree of this polynomial is 9.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Champ Quiz | Polynomials29 mins
Methods to find zeroes of a Polynomial-246 mins
Remainder Theorem and Factor Theorem38 mins
Polynomials - Zero to Hero42 mins
Genius Quiz | Polynomials40 mins
Zeros and Degrees of a Polynomial41 mins
Introduction to Polynomials37 mins
Basic understanding of Polynomials37 mins
Quiz | Imp. Qs. on Algebraic Identities65 mins
Genius Quiz | Division of Algebraic Expressions37 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses