Question

Factorise
$3 {x}^{2} - \times - 2$
​

Answer 1

3x² - x - 2

= 3x² + 2x - 3x - 2

= x(3x + 2) -1(3x + 2)

= (3x + 2)(x - 1)

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Answer 2

Factorise:

Step-by-step explanation:

$\ Given \ value: \\\\\ 3x^2\ -\ x\ -\ 2 =0\\\\\ find: \\\\\ factores \ = ?\\\\\ Solution: \\\\\ 3x^2\ -\ x\ -\ 2 =0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3\times2 \ = 6 \ and\ 3 \ - 2 = 1 \\\\\rightarrow \ 3x^2\ -\ (3-2)x\ -\ 2 =0\\\\\rightarrow \ 3x^2\ -\ 3x+2x\ -\ 2 =0\\\\\rightarrow \ 3x(x\ -\ 1)+2(x\ -\ 1) =0\\\\\rightarrow (x\ -\ 1)(3x+2) =0\\\\(x\ -\ 1)=0 \ \ \ \ \ \ \ \ (3x+2) =0\\\\ x-1=0 \ \ \ \ \ \ \ \ \ \ \ \ \ 3x+2=0$

$x=1 \ \ \ \ \ \ \ \ \ \ \ \ \ 3x=-2 \\\\x=1 \ \ \ \ \ \ \ \ \ \ \ \ \ x=- \frac{2}{3}$

factors is 1.

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