Question

if x square - x -42 = (x+k) (x+6) then k =​

Answer 1

Answer:

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