We will make a polynomial with specific roots, r_n, because the product of all (x – r_n) = 0
y = x and
y = x + b
If we rewrite these as
0 = -y + x and
0 = -y + x + b
after which use these because the roots (multiply them collectively):
(-y + x)(-y + x + b) = 0
We find yourself with an equation whose graph is each of the unique equations.
I believe that is actually neat, and I need to discover it additional. With the ability to discover an equation for arbitrary shapes is a interest of mine. If I what to review this extra utterly, what space of arithmetic ought to I examine? Is there a proof that this works generally? There are some related outcomes I’ve observed and I might wish to study the overall principle as an alternative of simply muddling by means of.
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