Question

factorise 2x^2 - 14x + 24

Answer 1

Hola

Answer -

$2x^{2} - 14x + 24$

${x}^{2} - 14x + 24 \times 2$

${x}^{2} - 14x + 48$


Now we will have to find 2 factors such that their addition is - 14 and if you multiply those factors you will get 48.

=> 2 factors are -8 and -6

as -8 × -6

Therefore,

${x}^{2} - 8x - 6x + 48$


Now we will group in two

thus,


$x(x - 8) - 6( x - 8)$


So,

Factors =>

$(x - 6)(x - 8)$

Hope it helps

Answer 2

= 2x^2 -14x +24
=2x^2 -8x-6x + 24
= 2x(x-4) -6(x-4)
=(2x-6)(x-4)
this is your correct solution...
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