Final answer to the problem
Step-by-step Solution
Specify the solving method
For easier handling, reorder the terms of the polynomial $\left(-y^3-5y^2+25y+125\right)$ from highest to lowest degree
Learn how to solve factor problems step by step online.
$\left(-y^3-5y^2+25y+125\right)^2$
Learn how to solve factor problems step by step online. Factor the expression (125+25y-5y^2-y^3)^2. For easier handling, reorder the terms of the polynomial \left(-y^3-5y^2+25y+125\right) from highest to lowest degree. We can factor the polynomial \left(-y^3-5y^2+25y+125\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 125. Next, list all divisors of the leading coefficient a_n, which equals 1. The possible roots \pm\frac{p}{q} of the polynomial \left(-y^3-5y^2+25y+125\right) will then be.