Find the constant k such that the quadratic 2x^2 + 3x + 8x - x^2 + 4x + k has a double root.
First, let's combine all our like terms. We have
x2+15x+k
There are many possibilities for what k may be.
As long as two factors of k add up to 15, we are good.
Examples are such as
k=14;x2+15x+14=(x+14)(x+1)k=56;x2+15x+56=(x+7)(x+8)
k can also be negative, such as
k=−100;x2+15x−100=(x+20)(x−5)
Thanks! :)