Bai_tap_phan_tich_da_thuc_thanh_nhan_tu.doc

Bài tập phân tích đa thức thành nhân tử
Bài tập 1: Phân tích đa thức thành nhân tử.
1.
16x3y + 0,25yz3
21.
(a + b + c)2 + (a + b – c)2 – 4c2
27 - 27x + 9x2 - x3

2.
x 4 – 4x3 + 4x2
22.
4a2b2 – (a2 + b2 – c2)2
xy - 5y + 2x - 10

3.
2ab2 – a2b – b3
23.
a 4 + b4 + c4 - 2a2b2 - 2b2c2 -2a2c2
2xy + z +2x +yz

4.
a 3 + a2b – ab2 – b3
24.
a(b3 -c3) + b(c3 -a3) + c(a3 – b3)
x2 + 2x + 1 - y2

5.
x 3 + x2 – 4x - 4
25.
a 6 – a4 + 2a3 + 2a2
14x2 y – 21xy2 + 28x2y2

6.
x 3 – x2 – x + 1
26.
(a + b)3 – (a – b)3
10x(x – y) – 8y(y – x)

7.
x 4 + x3 + x2 - 1
27.
X 3 – 3x2 + 3x – 1 – y3
9x(x – y) – 10(y – x)2

8.
x 2y2 + 1 – x2 – y2
28.
X m + 4 + xm + 3 – x - 1
(x + y)2 – (x – y)2

10.
x 4 – x2 + 2x - 1
29.
(x + y)3 – x3 – y3
x2 – xy + x – y

11.
3a – 3b + a2 – 2ab + b2
30.
(x + y + z)3 – x3 – y3 – z3
x2 – 2x + 1 – 4y2

12.
a 2 + 2ab + b2 – 2a - 2b + 1
31.
(b – c)3 + (c – a)3 + (a – b)3
x2 – 2x – 4y2 – 4y

13.
a 2 – b2 – 4a + 4b
32.
x3 + y3+ z3 – 3xyz
x3 + 3x2 + 2x + 6

14.
a 3 – b3 – 3a + 3b
33.
(x + y)5 – x5 – y5
6z3 + 3z2 + 2z +1

15.
x 3 + 3x2 – 3x - 1
34.
(x2 + y2)3 + (z2 - x2)3 -(y2 + z2)3
4x5 +6x3 +6x2 +9

16.
x 3 – 3x2 – 3x + 1
35.
12x2y - 18y3
x6 + x4 + x2 + 1

17.
x 3 – 4x2 + 4x - 1
36.
3x2(y - 2z) - 15x(y - 2z)2
x2 + 2x + 1 – y2

18.
4a2b2 – (a2 + b2 – 1)2
37.
4x2 - 12x + 9
x2 + 2xy + y2 – xz - yz

19.
(xy + 4)2 – (2x + 2y)2
38.
16x2 - 9(x + y)2
2xy + z + 2x + yz

20.
(a2+b2+ ab)2- a2b2 -b2c2 - c2a2
39.
1 - 27x3y6
16x2 + 40x + 25

Bài tập 2: Phân tích đa thức thành nhân tử.
1.
x2 – 6x + 8
23.
x3 – 5x2y – 14xy2

2.
x2 – 7xy + 10y2
24.
x4 – 7x2 + 1

3.
a2 – 5a - 14
25.
4x4 – 12x2 + 1

4.
2m2 + 10m + 8
26.
x2 + 8x + 7

5.
4p2 – 36p + 56
27.
x2 – 13x + 36

6.
x3 – 5x2 – 14x
28.
x2 + 3x – 18

7.
a4 + a2 + 1
29.
x2 – 5x – 24

8.
a4 + a2 – 2
30.
3x2 – 16x + 5

9.
x4 + 4x2 + 5
31.
8x2 + 30x + 7

10.
x3 – 10x - 12
32.
2x2 – 5x – 12

11.
x3 – 7x - 6
33.
6x2 – 7x – 20

12.
x2 – 7x + 12
34.
x2 – 7x + 10