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For easier handling, reorder the terms of the polynomial $\left(-4x^4-x^3+3x^2+2\right)$ from highest to lowest degree
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$\left(-4x^4-x^3+3x^2+2\right)\left(3x-4+x^2\right)$
Learn how to solve factor problems step by step online. Factor the expression (3x^2-x^3-4x^4+2)(3x-4x^2). For easier handling, reorder the terms of the polynomial \left(-4x^4-x^3+3x^2+2\right) from highest to lowest degree. We can factor the polynomial \left(-4x^4-x^3+3x^2+2\right) 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 4. The possible roots \pm\frac{p}{q} of the polynomial \left(-4x^4-x^3+3x^2+2\right) will then be.