Question

Find the value of k if x minus 2 is a factor of k x square - 3 x + k

Answer 1

Answer:

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Answer 2

Answer:

Factor:

$x - 2 = 0$

$x = 2$

Therefore,

${k}^{2} - 3x + k = 0$

${k}^{2} - 3(2) + k = 0$

${k}^{2} - 6 + k = 0$

${k}^{2} + k - 6 = 0$

${k}^{2} - 3k + 2k - 6 = 0$

$k(k - 3) + 2(k - 3) = 0$

$(k - 3)(k + 2) = 0$

Thus,

Value of k = 3 or - 2.

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