Question

Zad.1

Wyznacz współczynniki P i Q wielomianu W(A)=-px³+3x²+x-6q jeśli W(-1)=4 W(0)=3

Zad.2.

Punkty A(3,a) B(-1,b) C(0,c) należa do wykresu wielomianu W(x)=-x³+4x²+x-1 wyznacz A,B,C

Answer 1

zad 1

W(x)=-px³+3x²+x-6q

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{W(-1)=4

{W(0)=3

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{4=-p(-1)³+3(-1)³+(-1)-6q

{3=-6q

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{q=-1/2

{4=p+3-1+3

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{q=-1/2

{p=-1

W(x)=x³+3x²+x+3

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zad 2

W(x)=-x³+4x²+x-1

- A(3, a)=A(3, 11)

a=-3³+4*3²+3-1

a=-27+36+3-1

a=11

- B(-1, b)=B(-1, 3)

b=-(-1)³+4*(-1)²-1-1

b=1+4-2

b=3

- C(0, c)=C(0, -1)

c=-1