Risposta finale al problema
Soluzione passo-passo
Come posso risolvere questo problema?
- Scegliere un'opzione
- Prodotto di binomi con termine comune
- Metodo FOIL
- Sostituzione di Weierstrass
- Dimostrare dal LHS (lato sinistro)
- Per saperne di pi�...
We can factor the polynomial $x^3-5x^2+2x+8$ 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 $8$
Impara online a risolvere i problemi di fattorizzazione passo dopo passo.
$1, 2, 4, 8$
Impara online a risolvere i problemi di fattorizzazione passo dopo passo. x^3-5x^22x+8. We can factor the polynomial x^3-5x^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 1. The possible roots \pm\frac{p}{q} of the polynomial x^3-5x^2+2x+8 will then be. Trying all possible roots, we found that 4 is a root of the polynomial. When we evaluate it in the polynomial, it gives us 0 as a result.
