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Find the roots of the polynomial $\frac{x^3-3x+2}{x^4-4x+3}$ by putting it in the form of an equation and then set it equal to zero
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$\frac{x^3-3x+2}{x^4-4x+3}=0$
Learn how to solve classify algebraic expressions problems step by step online. Find the roots of (x^3-3x+2)/(x^4-4x+3). Find the roots of the polynomial \frac{x^3-3x+2}{x^4-4x+3} by putting it in the form of an equation and then set it equal to zero. We can factor the polynomial x^4-4x+3 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 3. Next, list all divisors of the leading coefficient a_n, which equals 1. The possible roots \pm\frac{p}{q} of the polynomial x^4-4x+3 will then be.