Final answer to the problem
$\left(x-2\right)\left(x-5\right)$
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Step-by-step Solution
How should I solve this problem?
- Choisir une option
- Produit de binômes avec terme commun
- Méthode FOIL
- Weierstrass Substitution
- Prouver à partir du LHS (côté gauche)
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1
Factor the trinomial $x^2-7x+10$ finding two numbers that multiply to form $10$ and added form $-7$
$\begin{matrix}\left(-2\right)\left(-5\right)=10\\ \left(-2\right)+\left(-5\right)=-7\end{matrix}$
2
Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values
$\left(x-2\right)\left(x-5\right)$
Final answer to the problem
$\left(x-2\right)\left(x-5\right)$
