It’s a very simple question:
A monic polynomial of degree 2 has a double root at x=-4. Write down an expression for the polynomial P(x). Is this a unique expression?
I know it must be $P(x)=(x+4)^2$, but what does a unique expression mean? Is it, because it’s monic there is only one possible answer?
$\endgroup$ 11 Answer
$\begingroup$Each polynomial of the form $c(x+4)^2$, with $c \ne 0$, has a double root at $x=-4$.
If $c(x+4)^2$ is monic, then $c=?$
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