Question

a) 6m2 – 7m + 2
b) 14x2 + 29x – 15

Answer 1

Respuesta:

$A)6m^2-7m+2=\left(2m-1\right)\left(3m-2\right)$

$B)14x^2+29x-15=\left(7x-3\right)\left(2x+5\right)$

Explicación paso a paso:

• $A)6m^2-7m+2$

$\mathrm{Factorizar\:la\:expresion}$

$=\left(6m^2-3m\right)+\left(-4m+2\right)$

$\mathrm{Factorizar\:}3m\mathrm{\:de\:}6m^2-3m\mathrm{:\quad }3m\left(2m-1\right)$

$\mathrm{Factorizar\:}-2\mathrm{\:de\:}-4m+2\mathrm{:\quad }-2\left(2m-1\right)$

$=3m\left(2m-1\right)-2\left(2m-1\right)$

$\mathrm{Factorizar\:el\:termino\:comun\:}2m-1$

$=\left(2m-1\right)\left(3m-2\right)$

• $14x^2+29x-15$

$\mathrm{Factorizar\:la\:expresion}$

$=\left(14x^2-6x\right)+\left(35x-15\right)$

$\mathrm{Factorizar\:}2x\mathrm{\:de\:}14x^2-6x\mathrm{:\quad }2x\left(7x-3\right)$

$\mathrm{Factorizar\:}5\mathrm{\:de\:}35x-15\mathrm{:\quad }5\left(7x-3\right)$

$=2x\left(7x-3\right)+5\left(7x-3\right)$

$\mathrm{Factorizar\:el\:termino\:comun\:}7x-3$

$=\left(7x-3\right)\left(2x+5\right)$