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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Factor the difference of cubes: $a^3-b^3 = (a-b)(a^2+ab+b^2)$
Learn how to solve synthetic division of polynomials problems step by step online. Simplify the expression (x^4+x+-2)/(x^3-1). Factor the difference of cubes: a^3-b^3 = (a-b)(a^2+ab+b^2). We can factor the polynomial x^4+x-2 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 -2. Next, list all divisors of the leading coefficient a_n, which equals 1. The possible roots \pm\frac{p}{q} of the polynomial x^4+x-2 will then be.
