I am trying to figure out a general formula for getting the product of two degree-2 polynomials.
For example, I have $ax^2+bx+c$ and want to multiply it by $dx^2+ex+f$ where all variables are constants except for $x$. What would be the product of these two polynomials?
I tried computing the general formula, but I don't believe I got the correct answer. Thanks for your help!
What I got was $adx^4 + (ae+bd)x^3 + (af+be+cd)x^2 + (ce+bf)x + cf$.