Question

1) Find the value of k if x2 + kx + 6 = (x + 2) (x + 3) for all k.​

Answer 1

Answer:

k= 5

Step-by-step explanation:

Given: x^2+kx+6=(x+2)(x+3) for all values of x

To find the value of k

Sol: x^2 + Kx +6 = (x+2) (x+3)

= x^2 + Kx +6 = x(x+3)+ 2(x+3)

= x^2 + Kx +6 = x^2+3x+2x+6

= x^2 + kx +6 = x^2 +5x + 6

Equating both sides in the above condition we get,

The value of k=5

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Answer 2

Answer:

value of k is 5

Step-by-step explanation:

x² + kx + 6 = (x + 2) (x + 3)

Or x²+kx+6=x²+3x+2x+6

Or, x²+kx+6=x²+5x+6

Or,kx=5x

k=5