Let $a$, $b$ and $c$ be real numbers such that:
If this polynomial is a zero polynomial, what is the least value of $a\cdot b+c$?
I'm really stumped on how to go about solving this problem. I haven't solved a zero polynomial problem before so this is a tad bit too confusing for me to solve it.
I'd post my attempts at solving this but they were worthless and this has taken a good chunk of my time already.
Thanks in advance!