What will be the value of K in the equation \(x^{3}-K x^{2}+2 x-4=0\) if ‘2’ is the root of this equation?

Explanation

Put x = 2 in the equation we get, 8 − 4K + 4 − 4 = 0 or K = 2

In which of the following forms can the quadratic expression \(x^{2}-2 x-3\) be written?

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Which of the following is the LCM of \(a^{3}, a^{4}, a^{6}\)?

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The dimensions of Box B, shown below, are twice the lengths of the corresponding dimensions on Box A (not shown).