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107_8_3-1(1)

Total questions: 10

Worksheet time: 28mins

Name
Class
Date
1.

已知6x2-x-1=(3x+1)(2x-1),下列哪些敘述是正確的?

a)

2x-1是6x2-x-1的因式

b)

3x+1是6x2-x-1的倍式

c)

(3x+1)(2x-1)是6x2-x-1的因式

d)

6x2-x-1是6x2-x-1的倍式

2.

判別下列哪些是x3-3x2+2x-6的因式?

a)

x+2

b)

x-3

c)

x2+2

d)

x2+3

3.

下列各多項式中,哪些是x(x+1)和x2(x+1)的公因式?

a)

x2

b)

x

c)

x(x+1)

d)

x+1

4.

已知(19x-31)(13x-17)-(13x-17)(11x-23)可因式分解成(ax+b)(8x+c),其中a、b、c均為整數,則a+b+c=?

a)

-12

b)

-32

c)

38

d)

72

5.

已知多項式3x2+8x+4可因式分解成(3x+2)(x+m),則m為多少?

a)

3

b)

4

c)

2

d)

1

6.

已知多項式5x2+ax-6可因式分解成(5x+3)(x-2),則a為多少?

a)

-13

b)

7

c)

13

d)

-7

7.

因式分解 (x+5)(x-5)-(x-5)

a)

(x+5)(x-6)

b)

(x-5)(x-4)

c)

(x-5)(x+4)

d)

(x+5)(x+4)

8.

因式分解(5x-8)2-8(5x-8)

a)

(5x-8)(5x-16)

b)

(5x-8)(5x-9)

c)

5x(5x-8)

d)

(5x-8)(10x-3)

9.

因式分解(2x+3)(x-4)-(4-x)(5x-1)

a)

(4-x)(7x-4)

b)

(x-4)(7x+2)

c)

(x-4)(-3x+4)

d)

(4-x)(7x+2)

10.

因式分解 (x-1)2+(1-x)2(1+x)

a)

(x-1)2(x+2)

b)

(x-2)(1-x)2

c)

(x-1)2(x-2)

d)

(x+1)2(x+2)