Question

Dado o polinômio P (x) =x3 + kx2- 2×+5, determine K sendo P(2) = P (0).

Answer 1

P(x) = x^3 + kx^2 - 2x + 5

P(2)
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x^3 + kx^2 - 2x + 5 =0
(2)^3 + k(2)^2 - 2(2) + 5 =0
8 + 4k - 4 + 5= 0
8 +4k +1 =0
9+ 4k =0
2k = -9
k = -9/4
k = - 2,25

P(0)
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x^3 + kx^2 - 2x +5 =0
(0)^3 + k(0)^2 - 2x + 5 =0
0 + 0k - 0 + 5 = 0
0k + 0 + 5 =0
0k + 5 =0
0k = -5
k = -5/0
k = 0
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