Question

11)Seja p(x) 2ix³+x²-3x+1.Calcule o valor de p(2)+p(i).

13)Sabendo que -1 é raiz de p(x)=(x-2)² +
+m11x-15?

Answer 1

11) p(x) = 2ix³ + x² - 3x + 1

p(2) = 2i.2³ + 2² - 3.2 + 1

p(2) = 2i.8 + 4 - 6 + 1

p(2) = 16i - 1

p(i) = 2i.i³ + i² - 3i + 1

p(i) = 2i⁴ + (-1) - 3i + 1

p(i) = 2.1 - 1 - 3i + 1

p(i) = 2 - 3i

p(2) + p(i) = 16i - 1 + 2 - 3i

p(2) + p(i) = 1 + 13i

13) p(-1) = 0 => (-1 - 2)² + 11m.(-1) - 15 = 0

(-3)² - 11m - 15 = 0

9 - 11m - 15 = 0

-11m = 15 - 9

-11m = 6

11m = -6

m = -6/11