Question

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

Answer 1

Answer:

k = 5

Step-by-step 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