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Question :-

FIND the VALUE of k if (x - 3) is a FACTOR of \sf{x}^{2} - KX - 2.

Answer :-

\sf{g(x) \implies x - 3= 0 } \\ \sf{ \implies \: x = 0 + 3 = 3}

Now PUTTING the value of x.

\sf \pink{ {x}^{2} - kx - 2 = 0 } \\ \sf{ {3}^{2} - k \times 3 - 2 = 0} \\ \sf{9 - 3k - 2 = 0} \\ \sf{7 - 3k = 0} \\ \sf{ - 3k = 0 - 7} \\ \sf{ - 3k \: = - 7 } \\ \sf \therefore{k = \frac{7}{3} }


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