Relative degree of an algebraic expression Calculator

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Example

Created on 2024-06-20Asked by Camila Perez (Solvelet student)

Find the relative degree of the algebraic expression:

\frac{3x^5 + 2x^3 + x}{2x^4 + 5x^2 + 1}.

Solution

To find the relative degree of the algebraic expression

\frac{3x^5 + 2x^3 + x}{2x^4 + 5x^2 + 1}

: 1. **Identify the degrees of the numerator and the denominator:** - The degree of the numerator

3x^5 + 2x^3 + x

5

. - The degree of the denominator

2x^4 + 5x^2 + 1

4

. 2. **Calculate the relative degree:**

\text{Relative Degree} = \text{Degree of Numerator} - \text{Degree of Denominator} = 5 - 4 = 1.

Therefore, the relative degree of the algebraic expression is

1

. Solved on Solvelet with Basic AI Model

Some of the related questions asked by Logan Mitchell on Solvelet

1. Determine the relative degree of the polynomial

f(x) = 3x^2 + 2x - 1

.2. Classify the polynomial

g(x) = 5x^4 - 2x^3 + 3x^2 - 7x + 1

by its degree and leading coefficient.,

DefinitionThe order of an algebraic expression is simply the difference in the respective powers of the numerator and denominator of an algebraic expression that contains two polynomials. Example: For x2+2x3+x2+1 the relative degree is 3−2=1

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