Degree of a polynomial is the highest of the degrees of all its terms.
This highest degree of the polynomial is also called as the order of the polynomial.
The degree of the polynomial 5 - 9x + 4x3 - 8x7 is 7.
The degree of the polynomial 5x6 + x4 - 2x3 + 9 is 6.
A. 4
B. 2
C. 5
D. 3
Correct Answer: A
Step 1: y4 + 7y + 1 [Original Polynomial.]
Step 2: In the expression, the exponents of y are 4, 1.
Step 3: The highest exponent of y is the degree of the polynomial.
Step 4: So, the degree of the polynomial is 4.
Q1: What is the degree of the polynomial 3x² + 5x - 7?
Q2: What is the degree of the polynomial 8x⁵ - 2x³ + x - 4?
Q: What is the degree of a constant term?
A: The degree of a constant term is 0, as it can be considered as a coefficient multiplied by a variable raised to the power of 0 (e.g., 5 = 5x⁰).
Q: How do you find the degree of a polynomial with multiple variables?
A: The degree of a term with multiple variables is the sum of the exponents of the variables in that term. The degree of the polynomial is the highest of these sums.