CHUYÊN đề PHÂN TÍCH đa THỨC THÀNH NHÂN tử 2

CHUYÊN ĐỀ PHÂN TÍCH ĐA THỨC THÀNH NHÂN TỬ
BÀI 1:
a. 4x 4 +4x 3 +5x 2 +2x +1

b.

x 4 -7x 3 +14x 2 -7x +1

c. (x+1) 4 +(x 2 +x +1)

d.

x 4 x 3 -x +63

a. a/ x 2 -2x -4y 2 -4y

b.

a(a 2 +c 2 + bc) + b(c 2 +a 2 + ac) +c(a 2 +b 2 + ab)

c. 6x 2 -11x +3

d.

2x 2 +3x -27

e. x 3 +5x 2 +8x +4

f.

x 3 -7x +6

g. 2x 3 -x 2 +5x +3.

h.

x 3 -7x 2 -3.

BÀI 2:

BÀI 3:
a. (x 2 +x )- 2(x 2 +x ) -15

b. x 2 +2xy+y 2 -x-y -12

c. (x 2 +x +1)(x 2 +x +2) -12

d. (x+2)(x+3)(x+4)(x+5) -24

e. (x+a)(x+2a)(x+3a)(x+4a) +a 4

f.

BÀI 4:

a. x 2 − x − 12

(x 2 + y 2 + z 2 )(x+y+z) 2 +(xy+yz+xz) 2

b. x 2 + 8 x + 15

c. x 2 − 6 x − 16
d. x 3 − x 2 + x + 3
2
BÀI 5: a. ( x 2 − x ) − 2( x 2 − x ) − 15
b. (a - x)y3 - (a - y)x3 + (x - y)a3
c. bc(b + c) + ca(c + a) + ba(a + b) + 2abc
d. x2 y + xy2 + x2 z + xz2+ y2 z + yz2 + 2xyz.
BÀI 6:
a. 6 x4 + 19x2 + 15

b.

(48x2 + 8x – 1)(3x2

+ 5x + 2) – 4
c.
(x+1)(x+3)(x+5)(x+7) + 16
(x+5)(x+7) + 7
e.
(12x – 1)(6x – 1)(4x – 1)(3x – 1) – 330 f.
2
(a +a+6) + 4a2 .
g.
(x2 + 11x + 30)( x2 + 22x + 120) – 3x2
( 5 – x)4 – 2
i.
x4 – 9x3 + 28x2 – 36x + 16
6x2 + 3x + 1

d.

( x+1)(x+3)

(a+2)(a+3)
(7 – x)4 +

h.
k.

x4 – 3x3 –

BÀI 7:

1, x( x + 4)( x + 6)( x + 10) + 128

2, (x + 1)( x + 2)( x + 3)( x + 4) − 24

3, ( x 2 + 4 x + 8) 2 + 3 x( x 2 + 4 x + 8) + 2 x 2

4, ( x 2 + x) 2 + 4 x 2 + 4 x − 12

5, x 2 + 2 xy + y 2 + 2 x + 2 y − 15

6, (x + a)( x + 2a)( x + 3a)( x + 4a) + a 4

7, 6 x 4 − 11x 2 + 3

8, ( x 2 + x) 2 + 3( x 2 + x) + 2

9, x 2 − 2 xy + y 2 + 3 x − 3 y − 10

10, ( x 2 + 2 x) 2 + 9 x 2 + 18 x + 20

11, x 2 − 4 xy + 4 y 2 − 2 x + 4 y − 35

12, (x + 2)( x + 4)( x + 6)( x + 8) + 16


BÀI 8:
1, x 4 + 6 x 3 + 7 x 2 − 6 x +1

2, ( x 2 + y 2 + z 2 )( x + y + z ) 2 + ( xy + yz + zx) 2

1, x 7 + x 2 + 1

2, x 7 + x5 + 1

3, x5 + x 4 + 1

4, x 5 + x + 1

5, x8 + x 7 + 1

6, x 5 − x 4 − 1

7, x5 + x − 1

8, x10 + x5 + 1