Created on 2024-06-20Asked by Henry Jones (Solvelet student)
Factorize the polynomial f(x)=x3−8.
Solution
To factorize the polynomial f(x)=x3−8: 1. Recognize that x3−8 is a difference of cubes, which factors into (x−2)(x2+2x+4). Therefore, the factorized form of f(x) is (x−2)(x2+2x+4). Solved on Solvelet with Basic AI Model
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DefinitionPolynomial factorization is to rewrite a polynomial as the product of its factors, which are polynomials of lower degree. This streamlines the solution of polynomial equations and root finding. For example, polynomial x²−5x+6 has factors as (x−2)(x−3)
