If $(x - 1)$ , is a factor of the polynomial $(3 x^{2} + m x)$ then the value of $m$ is__

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Solution

Consider the given polynomials $x - 1, 3 x^{2} + m x$

Given that $x - 1$ is factor of $3 x^{2} + m x$

So,

$x - 1 = 0$

$x = 1$

$x = 1$ will satisfied $3 x^{2} + m x$

Now,

$3 x^{2} + m x = 1$

${3.1}^{2} + m \times 1 = 0$

$3 + m = 0$

$m = - 3$
Hence this is the answer .

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