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Question

If x2 + kx + 6 = (x + 2) (x + 3) for all x, then the value of k is
(a) 1
(b) –1
(c) 5
(d) 3

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Solution

Given: x2 + kx + 6 = (x + 2) (x + 3)

x2+kx+6=x+2x+3x2+kx+6=x2+2x+3x+6x2+kx+6=x2+5x+6kx=5xk=5

Hence, the correct option is (c).

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