Question

factorizar a) x²+7x+10 =(x+5)(x-2)​

Answer 1

Verified answer

Respuesta:

[tex]x^2+7x+10=\left(x+5\right)\left(x-2\right)[/tex]

[tex]\mathrm{Calculamos:}[/tex]

[tex]\left(x+5\right)\left(x-2\right)=x^2+3x-10[/tex]

[tex]x^2+7x+10=x^2+3x-10[/tex]

[tex]x^2+7x=x^2+3x-20[/tex]

[tex]\mathrm{Restamos \ x^2+3x:}[/tex]

[tex]x^2+7x-\left(x^2+3x\right)=x^2+3x-20-\left(x^2+3x\right)[/tex]

[tex]4x=-20[/tex]

[tex]\frac{-20}{4}=-5[/tex]

Solución:

[tex]\boxed{\text{x}=-5}[/tex]

Saludos...