Answer:
Step-by-step explanation:
Let simplify x²+5x+6 and then we will compare it to (x+2)(kx+3)
Now,
x²+5x+6
Multiply the coefficient of x²(which is 1) to the constant(which is 6),
So, 1×6=6,
Now, we need to find the factor of 6
3×2=6, then, let add them, 2+3=5
Since the addition gave us the coefficient of x( which is 5)
Then, we can rewrite the expression as
x²+5x+6
x²+3x+2x+6
x(x+3)+2(x+3)
(x+3)(x+2)
Comparing this to (x+2)(kx+3)
We notice that
(x+3)=(kx+3)
Then, kx=x
Then, k=1
