If the square of X + 2x + k is a complete square, then k =

If the square of X + 2x + k is a complete square, then k =

x^2+2x+k
=x^2+2x+1+k-1
=(x+1)^2+k-1
Because it's a perfect square,
Then k-1 = 0
k=1

If the square of X - x + m is equal to (X-2) (x-n), then what is m equal to and what is n equal to?

If we simplify and open the right side, we can get n + 2 equal to 1, find n equal to - 1, and then because 2n equals m, m equals - 2

If the square of X + MX-15 = (x + 3) × (x + n), then what is the value of M,

The square of X + MX-15 = (x + 3) × (x + n) is reduced to X & sup2; + MX-15 = x & sup2; + (3 + n) x + 3N, and the comparison coefficient is 3N = - 15, n = - 5
m=-2