Question

Explain how to find the degree of a polynomial

Answer 1

1. Combine all of the like terms so that you can simplify it, if they are not combined already.
2. Drop all of the constants and coefficients, the constant terms are all of the terms that are not attached to the variable.
3. Put the term in decreasing order of their exponents.
4. Find the power o the largest term.
5. Identify the degree of the polynomial.
6. Know that the degree of a constant is zero.
 
Hope this helps!

Answer 2

The highest power of the polynomial function is known as the degree and the number of roots is equal to the degree.

Further explanation:

Explanation:

Degree is defined as the highest power of the polynomial function.

The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n.

$f\left( x \right) = a{x^n} + b{x^{n - 1}} + \ldots + cx + d$

The polynomial function has n roots or zeroes.

Consider a polynomial function $4{x^4} + 3{x^2} + x + 5.$

The highest power of the polynomial function is 4.

Therefore, the degree of the polynomial function is 4.

Since, the degree of the polynomial function is 4. Therefore, the polynomial has 4 roots.

The highest power of the polynomial function is known as the degree and the number of roots is equal to the degree.

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497.

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Polynomial

Keywords: degree of the polynomial, roots, linear equation, quadratic equation, zeros, function, polynomial, solution, cubic function, degree of the function.