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Trang 1PHÂN TÍCH ĐA THỨC THÀNH NHÂN TỬ
6 13 2
7
2x4 − x3− x2 + x+
(x2+1) (−x a2+1)
a
n
x
x−1+ + 3−
24 14 13
4 + x − x − x+
x
3 4
13
6x3+ x2 + x−
(x2 −x) (2 −2 x2 −x)−15
c b a c
b
a+ + − − −
(a - x)y 3 - (a - y)x 3 + (x - y)a 3
abc bc
c b ac c a ab
b
2 2 + 2 − 2 + 2 − 2 + 2 −
6
2 +x−
x 4 + 2007x 2 + 2006x + 2007.
bc(b + c) + ca(c + a) + ba(a + b) + 2abc.
x8 + 3x4 + 4
x6 - x4 - 2x3 + 2x2
12
2
2 − x−
x
15
8
2 + x+
x
16
6
2 − x−
x
3
2
3 −x +x+
x
20
8
2 + x−
x
4 8
5 2
3 − x + x−
x
abc c
b
a3+ 3+ 3−3
x2 y + xy2 + x2 z + xz2+ y2 z + yz2 + 2xyz
3
1 3
2 3
1
3x2 − y2 + y−
ab + ac + b2 + 2bc + c2
x4 + 2x2 - 3
(x - 2)(x - 3)(x - 4)(x - 5) + 1
3x2 - 2x - 1
x3 + 6x2 + 11 + 6
x4 - 3x3 + 8x - 24
x3 - 3x2 - 9x - 5
a3 - b3 + c3 + 3abc
a + 2)(a + 3)(a2 + a + 6) + 4a2 4x2 - 9y2 + 4x - 6y
x2 - x - 2007.2008
x7 + x5 + 1
x5 + x + 1
x10 + x2 + 1
x11 + x4 + 1
x8 + x + 1
6 13 2
7
2x4 − x3− x2 + x+
(x2+1) (−x a2+1)
a
n
x
x−1+ + 3−
24 14 13
4 + x − x − x+
x
3 4
13
6x3+ x2 + x−
(x2 −x) (2 −2 x2 −x)−15
c b a c
b
a+ + − − −
(a - x)y 3 - (a - y)x 3 + (x - y)a 3
abc bc
c b ac c a ab
b
2 2 + 2 − 2 + 2 − 2 + 2 −
6
2 +x−
x 4 + 2007x 2 + 2006x + 2007.
bc(b + c) + ca(c + a) + ba(a + b) + 2abc.
x8 + 3x4 + 4
x6 - x4 - 2x3 + 2x2
12
2
2 − x−
x
15
8
2 + x+
x
16
6
2 − x−
x
3
2
3 −x +x+
x
20
8
2 + x−
x
4 8
5 2
3 − x + x−
x
abc c
b
a3 + 3 + 3 − 3
x2 y + xy2 + x2 z + xz2+ y2 z + yz2 + 2xyz
3
1 3
2 3
1
3x2 − y2 + y−
ab + ac + b2 + 2bc + c2
x4 + 2x2 - 3
(x - 2)(x - 3)(x - 4)(x - 5) + 1
3x2 - 2x - 1
x3 + 6x2 + 11 + 6
x4 - 3x3 + 8x - 24
x3 - 3x2 - 9x - 5
a3 - b3 + c3 + 3abc
a + 2)(a + 3)(a2 + a + 6) + 4a2 4x2 - 9y2 + 4x - 6y
x2 - x - 2007.2008
x7 + x5 + 1
x5 + x + 1
x10 + x2 + 1
x11 + x4 + 1
x8 + x + 1