Final answer to the problem
Step-by-step Solution
Specify the solving method
For easier handling, reorder the terms of the polynomial $x^3+9x^2+27x+27$ from highest to lowest degree
Learn how to solve polynomial factorization problems step by step online.
$x^3+9x^2+27x+27$
Learn how to solve polynomial factorization problems step by step online. Factor the expression 27+27x9x^2x^3. For easier handling, reorder the terms of the polynomial x^3+9x^2+27x+27 from highest to lowest degree. We can factor the polynomial x^3+9x^2+27x+27 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 27. Next, list all divisors of the leading coefficient a_n, which equals 1. The possible roots \pm\frac{p}{q} of the polynomial x^3+9x^2+27x+27 will then be.