1. 1) Q(x) x4 -5x2 + 4
x = ± 4; ± 2; ± 1 x = ± 2; ± 1
1 0 -5 0 4
2 2 4 -2 -4
1 2 -1 -2 0
-2 -2 0 2
1 0 -1 0
A = 1 B = 0 C = -1
x = -b ± √ b2 - 4 . A . C / 2a x = - (0) ± √ (0)2 - 4 . 1 . (-1) / 2 . 1
x = √4/2 = ± 2/2 2 / 2 = 1 -2 / 2 = -1
Q(x) = (x-2) . (x+2) . (x-1) . (x+1)
Alumnos:
nAJID Colmenarez
José Arango
Ricardo Gongalez
Fabiola Peña
Carlos Torrealba
Equipo 7
5to "B"
Guía de estudio de
"Raices de un polinomio"

2. 2) S(x) 2x3 -7x2 +8x -3
x = ± 3; ± 1 x = ± 2; ± 1
2 -7 8 -3
-1 2 -5 3
2 -5 3 0
A = 2 B = -5 C = -3
x = -b ± √ b2 - 4 . A . C / 2a x = - (-5) ± √ (-5)2 - 4 . 2 . (-3) / 2 . 2
x = 5 ± √ 25-24 / 4 x = 5 ± √ 1 / 4 5 + 1 / 4 = 6 / 4 = 3 / 2
5 - 1 / 4 = 4 / 4 = 1
S(x) = (x-1) . (x-3 / 2) . (x-1)
3) P(x) 2x4 +x3 -8x2 -x +6
x = ± 6; ± 3; ± 2; ± 1 x = ± 2; ± 1
2 1 -8 -1 6
-2 -4 6 4 -6
2 -3 -2 3 0
-1 -2 5 -3 0
2 -5 3 0
A = 2 B = -5 C = 3
x = -b ± √ b2 - 4 . A . C / 2a x = - (-5) ± √ (-5)2 - 4 . 2 . 3 / 2 . 2
x = 5 ± √ 25-24 / 4 x = 5 ± √ 1 / 4 5 + 1 / 4 = 6 / 4 = 3 / 2
5 - 1 / 4 = 4 / 4 = 1
P(x) = (x+2) . (x+1) . (x-3/2) . (x-1)

3. 4) E(x) x4 +x3 -11x2 -9x +18
x = ± 18; ± 9; ± 3; ± 1
1 1 -11 -9 18
3 3 12 3 -18
1 4 1 -6 0
-2 -2 -3 6
1 1 -3 0
A = 1 B = 1 C = -3
x = -b ± √ b2 - 4 . A . C / 2a x = - 2 ± √ (2)2 - 4 . 1 . (-3) / 2 . 1
x = -2 ± √ 4 + 12 / 2 x = -2 ± √ 16 / 2 = -2 ± 4 /2
-2 -4 / 2 = -6 / 2 = -3 -2 +4 / 2 = 2 / 2 = 1
E(x) = (x-3) . (x+2) . (x-1) . (x+3)