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For easier handling, reorder the terms of the polynomial $\left(-3w^3+5w^2+2w\right)$ from highest to lowest degree
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$\left(-3w^3+5w^2+2w\right)\left(3w^2-5w^3\right)$
Learn how to solve factor problems step by step online. Factor the expression (2w+5w^2-3w^3)(3w^2-5w^3). For easier handling, reorder the terms of the polynomial \left(-3w^3+5w^2+2w\right) from highest to lowest degree. We can factor the polynomial \left(-3w^3+5w^2+2w\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 0. Next, list all divisors of the leading coefficient a_n, which equals 3. The possible roots \pm\frac{p}{q} of the polynomial \left(-3w^3+5w^2+2w\right) will then be.