Raíces enteras

Raíces decimales

Raíces enteras

Raíces decimales

x

x

x

x

x

a_5 = 4 (slider from -5 to 5, step 1)
a_4 = -1 (slider from -5 to 5, step 1)
a_3 = 2 (slider from -5 to 5, step 1)
a_2 = 3 (slider from -5 to 5, step 1)
a_1 = 1 (slider from -5 to 5, step 1)
a_0 = 1 (slider from -3 to 3, step 1)
Q_0(x) = a_0
Q_6(x) = (Q_0(x) * (x - a_1))
Q_7(x) = (Q_6(x) * (x - a_2))
Q_8(x) = (Q_7(x) * (x - a_3))
Q_9(x) = (Q_8(x) * (x - a_4))
Q_{10}(x) = (Q_9(x) * (x - a_5))
a = 2 (slider from 0 to 5, step 1)
P = If(a ≟ 0, Q_0, If[a ≟ 1, Q_6, If[a ≟ 2, Q_7, If[a ≟ 3, Q_8, If[a ≟ 4, Q_9, Q_{10}]]]])
Q = Polynomial(P)
P_1: (a_1, 0)
P_2: (a_2, 0)
P_3: (a_3, 0)
P_4: (a_4, 0)
mx = Max(Q, -6, 6)
mi = Min(Q, -6, 6)
b = 0 (slider from 0 to 1, step 1)
v = If(b ≟ 0, 1, 0.1)
textoa1: "Cantidad de raíces: " + a + ""
P_5: (a_5, 0)
a00: abs(a_0)
a11: abs(a_1)
a22: abs(a_2)
a33: abs(a_3)
a44: abs(a_4)
a55: abs(a_5)
texto5: "(x-" + a33 + ")"
texto5a: "(x+" + a33 + ")"
texto6: "(x-" + a44 + ")"
texto7: "(x-" + a55 + ")"
texto7a: "(x+" + a55 + ")"
texto6a: "(x+" + a44 + ")"
textoa6: "" + a_0 + ""
texto3a: "(x+" + a11 + ")"
texto3: "(x-" + a11 + ")"
texto4: "(x-" + a22 + ")"
texto4a: "(x+" + a22 + ")"
R = Factor(Q)
A = Point(xAxis)
c = OrthogonalLine(A, xAxis)
B = Intersect(P, c, 1)
d = OrthogonalLine(B, c)
C = Intersect(d, yAxis)
e = Segment(A, B)
f = Segment(B, C)
x1: x(B)
y1: y(B)
textoa4: "x = " + x1 + ""
g_1: y = x - a_1
g_2: y = x - a_2
g_3: y = x - a_3
g_4: y = x - a_4
g_5: y = x - a_5
Q_1 = Intersect(c, g_1)
Q_2 = Intersect(c, g_2)
Q_3 = Intersect(c, g_3)
Q_4 = Intersect(c, g_4)
Q_5 = Intersect(c, g_5)
g = Segment(A, Q_3)
h = Segment(A, Q_4)
i = Segment(A, Q_5)
j = Segment(A, Q_1)
k = Segment(A, Q_2)
texto1a: "P(" + x1 + ") = (" + a_0 + ")"
texto1b: "(" + x1 + "-" + a11 + ")"
texto1c: "(" + x1 + "+" + a11 + ")"
texto1d: "(" + x1 + "-" + a22 + ")"
texto1e: "(" + x1 + "+" + a22 + ")"
texto1f: "(" + x1 + "-" + a33 + ")"
texto1g: "(" + x1 + "+" + a33 + ")"
texto1h: "(" + x1 + "-" + a44 + ")"
texto1i: "(" + x1 + "+" + a44 + ")"
texto1j: "(" + x1 + "-" + a55 + ")"
texto1k: "(" + x1 + "+" + a55 + ")"
textoa3: "Descomposición factorial:
P(x) = " + R + ""
textoa2: "Expresión polinómica:
P(x) =  " + Q + "
P(" + x1 + ") = " + y1 + ""
textoa5: "P(" + x1 + ") = " + y1 + ""