What number goes in the box so that x^2 + ___x + 6x + 100 + 44 is the square of a binomial? If you find more than one, give your answer as a list.
x^2 + __x + 100 + 44
x^2 + ___x + 144
Take both square roots of 144 = 12 and -12
Multiply both by 2 = 24 and -24
Those are the x^s we need
Proof
(x - 12)^2 = x^2 - 24x + 144
(x + 12)^2 = x^2 + 24x + 144
