### 6.6 Factoring: A General Strategy

Problem #

Problem Statement

Problems Similar To

1.

Factorize

$$5x(x+9)-11(x+9)$$

2.

Factorize

$$x^{2}(x+5)-6(x+5)$$

3.

Factorize

$$y(6+x)-(x+6)$$

4.

Factorize

$$x^{2}-36$$

5.

Factorize

$$x^{2}+14x+49$$

6.

Factorize

$$6x^{4}-196x^{2}$$

7.

Factorize

$$90x^{3}+63x-10x^{2}-7$$

8.

Factorize

$$8x^{4}+50x^{3}+80x^{2}$$

9.

Factorize

$$(-4)x^{2}+324$$

10.

Factorize

$$-245x^{2}-70x-5$$

11.

Factorize

$$49x^{2}-36$$

12.

Factorize

$$121x^{2}-176x+64$$

13.

Factorize

$$8x^{3}-18x^{2}$$

14.

Factorize

$$2x^{3}+22x^{2}+48x$$

15.

Factorize

$$7y-27y^{2}$$

16.

Factorize

$$x^{3}+3x+7x^{2}+21$$

17.

Factorize

$$32xy-28x^{2}$$

18.

Factorize

$$15x+40$$

19.

Factorize

$$9x^{3}+840x^{2}+400x$$

20.

Factorize

$$3x^{3}-30x$$

21.

Factorize

$$x^{3}-36x$$

22.

Factorize

$$2x^{3}y+2x^{2}y^{2}$$

23.

Factorize

$$10x^{3}-80$$

24.

Factorize

$$(-5)x^{2}y+5xy-45y$$

25.

Factorize

$$9x^{4}+30x^{3}+45x^{2}$$

26.

Factorize

$$x^{3}+6x^{2}-36x-216$$

27.

Factorize

$$10x^{3}+7x^{2}-160x-112$$

28.

Factorize

$$2x^{2}-20x-160$$

29.

Factorize

$$2x^{6}-144x^{2}$$

30.

Factorize

$$8x^{2}+80$$

31.

Factorize

$$7x^{2}+70x$$

32.

Factorize

$$4x^{5}-64x$$

33.

Factorize

$$9x^{2}-18$$

34.

Factorize

$$9x^{5}+27x^{3}$$

35.

Factorize

$$50x^{2}-10x+80$$