Question

3x + 2 is a factor of
3x2 - x-2​

Answer 1

Answer:

$3x + 2 = 0 \\ 3x = 0 - 2 \\ 3x = - 2 \\ x = - \frac{ - 2}{3}$

$3x {}^{2} - x - 2 \\ substituting \: x = \frac{ - 2}{3}$

$3( \frac{ - 2}{3} ) {}^{2} - \frac{ - 2}{3 } - 2 \\ 3( \frac{4}{9} ) + \frac{2}{3} - 2 \\ nine \: and \: three \: gets \: cancelled \: in \: 3tables \ \ \: \\ so \: \: ......we \: get$

$1( \frac{4}{3} ) + \frac{2}{3} - 2 \\ \\ \frac{4 + 2}{3} - 2 = 0 \\ \frac{4 + 2}{3} = 0 + 2 \\ \frac{6}{3} = 2$

$3 \: and \: 6 \: gets \: canelled \: in \: 3 \: tables \\ \frac{2}{1} = 2 \\ 2 = 2$

$bringing \: 2 \: to \: the \: other \: side \\ 2 - 2 = 0 \\ 0 = 0</p><p>$

$therefore \: 3x + 2 \\ \: is \: \: factor \: of \: 3x {}^{2} - x - 2$

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