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https://i.stack.imgur.com/tD7bn.jpg

I do not understand how these polynomials are equal to each other at all. For example when I calculate the first one, I find 1*(x-2.75)*(x-4)

Thunfische
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  • You should write the important text of the image into the question, not refer to it by link to the image. – gue May 05 '17 at 09:00

1 Answers1

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You may notice that there is an error in the solutions divisor as it states $(2-2.5)(2-4)$ rather than $(2-2.75)(2-4)$.

So it seems that it is only a typo in the picture solution as the 7is missing $$L_0(x)=\frac{(x-2.75)(x-4)}{(2-2.75)(2-4)}=\frac{(x-2.75)(x-4)}{(-0.75)(-2)}=\frac{2}{3}(x-2.75)(x-4)$$

gue
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