Question

(If x²+ kx +6= (x+2) (x+3) for all x, then the value of k is 1 (B)-1 (C) 5 (D)3
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Answer 1

Given,

x² + kx + 6 = (x + 2)(x + 3) for all values of x.

To find,

the value of k

Solution,

$\implies$x² + kx + 6 = (x+2)(x+3)

$\implies$x² + kx + 6 = x(x+3)+2(x+3)

$\implies$x² + kx + 6 = x² + 3x + 2x + 6

$\implies$x² + kx + 6 = x² + 5x + 6

Equating both sides in the above condition we get,The value of k = 5 .