OK, so I was learning about how to factorize a quadratic polynomial. And I also wrote notes on it. Now, even though I know that
my notes are definitely correct, I’m getting stuck at a certain point. Please look at the attached photo, and explain why the variable X and the number 4 have been removed when we get the factors. I’d greatly appreciate it. Thanks!
1 answer:
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We have
So
The rational term vanishes as <em>x</em> gets arbitrarily large, so we can ignore that term, leaving us with
and this happens if <em>a</em> = 1 and <em>b</em> = -1.
To confirm, we have
as required.