Question

Factorisa 6x^2+5x-21

Answer 1

Respuesta:

(2x-3)(3x+7)

Explicación paso a paso:

$6x^2+5x-21\\=\left(6x^2-9x\right)+\left(14x-21\right)$

-------------------------------------

• $6x^2-9x$

$=6xx-9x\\=3\cdot \:2xx-3\cdot \:3x\\=3x\left(2x-3\right)$

• $14x-21$

$=7\cdot \:2x-7\cdot \:3\\=7\left(2x-3\right)$

-------------------------------------

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