Find twenty practice questions for factoring them

1.Factoring x3 2x2 2x 1

2.Factoring a2b2 a2 b2 1

3.Try division to determine whether 15x2 x 6 is a multiple of 3x 2.

4.(1) Determine whether 3x 2 is a factor of 6x2 x 2? (Write out the equation).

2) If yes, factor 6x2 x 2

b 9912 ,(1) Find the value of a2 2ab b2? (2) What is the value of a2 b2?

6.Discriminating whether 2x 1 is a factor of 4x2 8x 3? If yes, factor 4x2 8x3

7.Factoring (1) 3ax2 2x 3ax 2 (2) (x2 3x) (x 3) 2 2x 6

8.Let 6x2 13x k be a multiple of 3x2 and find the value of k.

9.Determine if 3x is a factor of x2? (Reasons to be given).

10.If -2x2 ax 12 is divisible by 2x 3, find (1)a ?2) Factor -2x2 ax 12.

11.(1) Factoring ab cd ad bc

2) Use (1) to find the value of 1990 29 1991 71 1990 71 29 1991.

12.Use the squared difference formula to find 1992 992 ?

13.Use the multiplication formula to find (6712)2 (3212)2?

14.Factoring the following types:

1)(2x＋3)(x－2)＋(x＋1)(2x＋3) (2)9x2－66x＋121

15.Ask students to factor 16x2 24x9 using the different factoring methods they have learned

1) Method 1: (2) Method 2:

16.Factoring the following types:

1) 4x2 25 (2)x2 4xy 4y2 (3) Use the method of (1) (2) to find a2 b2 2bc c2

17.Factorization.

1)8x2－18 (2)x2－(a－b)x－ab

18.Factoring the following types:

1)9x4＋35x2－4 (2)x2－y2－2yz－z2

3)a(b2－c2)－c(a2－b2)

19.Factorization (2x 1) (x 1) (2x 1) (x 3).

20.Factorization 39x2 38x 8

21.Use factorization to find the value of (6512)2 (3412)2.

22.Factoring a(b2 c2) c(a2 b2).

is an integer, if a2 b2 c2 4a 8b 14c 69 0, find the value of a 2b 3c.

24.Factorization: 7(x 1)2 4(x 1)(y 2) 20(y+2)2

25.Factoring xy2 2xy 3x y2 2y 1

1.If 2x3 3x2 mx 1 is a multiple of x 1, then m 2Factor: 3a3b2c, 6a2b2c2, 9ab2c3, 3

Factorization xy 6 2x 3y 4Factoring x2(x y) y2(y x) 5Factorization 2x2 (a 2b) x ab 6

Factoring A4 9A2B2 7If x3 3x2 is known.

1.Factorization 3a 3b 2c 6a 2b 2c 2 9ab 2c 3 3ab 2 c (a 2-2ac + 3c 2).

2.Factoring xy 6 2x 3y (x-3)(y-2).

3.Factoring x 2(x y) y 2(y x) (x+y)(x-y) 2

4.Factoring 2x 2 (a 2b) x ab (2x-a) (x+b).

5.Factoring a 4 9a 2b 2 a 2 (a + 3b) (a-3b).

8.Factoring ab(x 2 y 2) xy(a 2 b 2) (ay+bx)(ax-by).

9.Factoring (x y) (a b c) (x y) (b c a) 2y(a-b-c).

10.Factoring a2 a b 2 b (a+b)(a-b-1).

11.Factorization(3ab)2 4(3a b)(a 3b) 4(a 3b)2 [3a-b-2(a+3b)] 2=(a-7b) 2

12.Factorization(a3)2 6(a3)(a+3)(a-3)1)x 2+2xy+y 2

2)x^2-y^2

2.(a+x)^m+1*(b+x)^n-1-(a+x)^m*(b+x)^n

5.(c-a)^2-4(b-c)(a-b)

A1Original formula = a 4-a-3a + 3 = (a-1) (a 3 + a 2 + a - 3).

2.[1-(a+x)^m][(b+x)^n-1]

3.(ax+y)(1/ax+y)

5.(c-a)^2-4(b-c)(a-b)

c-a)(c-a)-4(ab-b^2-ac+bc)

c^2-2ac+a^2-4ab+4b^2+4ac-4bc

c^2+a^2+4b^2-4ab+2ac-4bc

a-2b)^2+c^2-(2c)(a-2b)

a-2b-c)^2

The following should be enough!

1.(3a－b)2－4(3a－b)(a＋3b)＋4(a＋3b)2＝[3a-b-2(a+3b)]^2=(a-7b)^2

2.(a＋3)2－6(a＋3)＝(a+3)(a-3)

3(x＋1)2(x＋2)－(x＋1)(x＋2)2＝-(x+1)(x+2)

21.(x＋2)(x－3)＋(x＋2)(x＋4)＝(x+2)(2x-1)

x+1)(2ax-3)

It cannot be decomposed within an integer.

27.－20x2＋9x＋20＝(-4x+5)(5x+4)

32.(2x＋1)(x＋1)＋(2x＋1)(x－3)＝2(x-1)(2x+1)

35.(x2－3x)＋(x－3)2＝(x-3)(2x-3)

47.(x＋6)(x－6)－(x－6)＝(x-6)(x+5)

And this cross multiplication look at this.

The topic is in**ah, the topic is in**.