Learn how to solve problems step by step online. Factor the expression 5a-3a^24a^4+-6. For easier handling, reorder the terms of the polynomial 4a^4-3a^2+5a-6 from highest to lowest degree. We can factor the polynomial 4a^4-3a^2+5a-6 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 -6. Next, list all divisors of the leading coefficient a_n, which equals 4. The possible roots \pm\frac{p}{q} of the polynomial 4a^4-3a^2+5a-6 will then be.

Factor the expression 5a-3a^24a^4+-6