Question

Wyznacz takie wartości m oraz n, aby wielomiany W i P były równe:

W(x)=(2m+n)x3 - 8x2 - 3x + 1

P(x)=5x3 - 8x2 + (3m-2n)x+1

Answer 1

Musi zachodzić :

2m + n = 5  / * 2

3m - 2n = - 3

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 4 m + 2 n = 10

3 m - 2 n = - 3

-----------------------  dodajemy stronami

7m = 7

m = 1

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n = 5 - 2 m = 5 - 2*1 = 3

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Odp.  m = 1, n = 3

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