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For easier handling, reorder the terms of the polynomial $-3x^4+2x^3+10x^2-5$ from highest to lowest degree
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$-3x^4+2x^3+10x^2-5$
Learn how to solve factorization problems step by step online. Factor the expression 10x^2-5-3x^42x^3. For easier handling, reorder the terms of the polynomial -3x^4+2x^3+10x^2-5 from highest to lowest degree. We can factor the polynomial -3x^4+2x^3+10x^2-5 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 -5. Next, list all divisors of the leading coefficient a_n, which equals 3. The possible roots \pm\frac{p}{q} of the polynomial -3x^4+2x^3+10x^2-5 will then be.