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andrey2020 [161]
3 years ago
12

You synthetic division to find P(3) for p(x)=x^4-6x^3-4x^2-6x-2

Mathematics
1 answer:
klio [65]3 years ago
5 0
By the polynomial remainder theorem, the remainder upon dividing p(x) by x-3 will be the value of p(3).

... | 1 ... -6 ... -4 ... -6 .... -2
3. | .. ...  3 ... -9 ... -39 .. -135 
--------------------------------------
... | 1 ... -3 ... -13 . -45 .. -137

So you have

\dfrac{x^4-6x^3-4x^2-6x-2}{x-3}=x^3-3x^2-13x-45-\dfrac{137}{x-3}

which means p(3)=-137.
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