Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Choose an option
- Write in simplest form
- Solve by quadratic formula (general formula)
- Find the derivative using the definition
- Simplify
- Find the integral
- Find the derivative
- Factor
- Factor by completing the square
- Find the roots
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For easier handling, reorder the terms of the polynomial $x^5+1$ from highest to lowest degree
Learn how to solve differential calculus problems step by step online.
$f\left(x\right)=\frac{x^2}{x^5+1}$
Learn how to solve differential calculus problems step by step online. Simplify the expression f(x)=(x^2)/(1+x^5). For easier handling, reorder the terms of the polynomial x^5+1 from highest to lowest degree. We can factor the polynomial x^5+1 using the rational root theorem, which guarantees that for a polynomial of the form a_nx^n+a_{n-1}x^{n-1}+\dots+a_0 there is a rational root of the form \pm\frac{p}{q}, where p belongs to the divisors of the constant term a_0, and q belongs to the divisors of the leading coefficient a_n. List all divisors p of the constant term a_0, which equals 1. Next, list all divisors of the leading coefficient a_n, which equals 1. The possible roots \pm\frac{p}{q} of the polynomial x^5+1 will then be.
