Exercise
-3x^2 + 9x^4 - 8 - 4x^3 + 2x
Step-by-step Solution
Learn how to solve special products problems step by step online. -3x^2 + 9x^4 - 8 - 4x^3 + 2x. Math interpretation of the question. For easier handling, reorder the terms of the polynomial 9x^4-4x^3-3x^2+2x-8 from highest to lowest degree. We can factor the polynomial 9x^4-4x^3-3x^2+2x-8 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 -8. Next, list all divisors of the leading coefficient a_n, which equals 9.
-3x^2 + 9x^4 - 8 - 4x^3 + 2x
Final answer to the exercise
$\left(9x^{3}-13x^{2}+10x-8\right)\left(x+1\right)$