Question

.If x2 + kx+ 6 = (x + 2) (x + 3) for all x, then the value of k is

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Answer 1

k = 5

Explanation:

`(x + 2)(x + 3) = {x}^(2) + 5x + 6`

Now comparing left hand side & right hand side ,

`{x}^(2) + kx + 6 = {x}^(2) + 5x + 6`

Cancelling x^2 & 6 from both left hand side & right hand side ,

kx = 5x

=> k = 5