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

Question

asked May 20, 2021 179k views

1 Answer

Patrick Lang · Answer 1 · 2021-05-26T06:59:55+0000

Answer:

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