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0.25 - Factoring Trinomials a=1

Total questions: 44

Worksheet time: 25mins

Name
Class
Date
1.

Factor the trinomial

x2+9x+20x^2+9x+20  

a)

(x+4)(x+5)\left(x+4\right)\left(x+5\right)  

b)

(x+2)(x+10)\left(x+2\right)\left(x+10\right)  

c)

(x+1)(x+20)\left(x+1\right)\left(x+20\right)  

d)

Not factorable

2.

Factor the trinomial. Do not type spaces.

x2+13x+12x^2+13x+12  

(a)  

3.

Factor the trinomial. Do not type spaces.

x2+8x+12x^2+8x+12  

(a)  

4.

Factor the trinomial. Do not type spaces.

x2+7x+12x^2+7x+12  

(a)  

5.

Factor the trinomial. Do not type spaces.

x2+x12x^2+x-12  

(a)  

6.

Factor the trinomial. Do not type spaces.

x2x12x^2-x-12  

(a)  

7.

Factor the trinomial. Do not type spaces.

x211x12x^2-11x-12  

(a)  

8.

Factor the trinomial. Do not type spaces.

x2+11x12x^2+11x-12  

(a)  

9.

Factor the trinomial. Do not type spaces.

x27x+12x^2-7x+12  

(a)  

10.

Factor the trinomial. Do not type spaces.

x2+8x+15x^2+8x+15  

(a)  

11.

Factor the trinomial. Do not type spaces.

x28x+15x^2-8x+15  

(a)  

12.

Factor the trinomial. Do not type spaces.

x22x15x^2-2x-15  

(a)  

13.

Factor the trinomial. Do not type spaces.

x2+2x15x^2+2x-15  

(a)  

14.

Factor the trinomial. Do not type spaces.

x2+12x+20x^2+12x+20  

(a)  

15.

Factor the trinomial. Do not type spaces.

x212x+20x^2-12x+20  

(a)  

16.

Factor the trinomial. Do not type spaces.

x28x20x^2-8x-20  

(a)  

17.

Factor the trinomial. Do not type spaces.

x2+8x20x^2+8x-20  

(a)  

18.

Match the following

a)

x2+25x+24x^2+25x+24  

1.

(x+1)(x+24)

b)

x2+14x+24x^2+14x+24  

2.

(x+2)(x+12)

c)

x2+11x+24x^2+11x+24  

3.

(x+3)(x+8)

d)

x2+10x+24x^2+10x+24  

4.

(x+4)(x+6)

e)

x2+250x+24x^2+250x+24  

5.

not factorable

19.

Match the following

a)

x2+7x18x^2+7x-18  

1.

(x-2)(x+9)

b)

x27x18x^2-7x-18  

2.

(x+2)(x-9)

c)

x2300x18x^2-300x-18  

3.

not factorable

d)

x217x18x^2-17x-18  

4.

(x+1)(x-18)

e)

x2+17x18x^2+17x-18  

5.

(x-1)(x+18)

20.

Match the following

a)

x2+8x+15x^2+8x+15  

1.

(x+3)(x+5)

b)

x28x+15x^2-8x+15  

2.

(x-3)(x-5)

c)

x216x+15x^2-16x+15  

3.

(x-1)(x-15)

d)

x2+16x+15x^2+16x+15  

4.

(x+1)(x+15)

e)

x2123x+15x^2-123x+15  

5.

not factorable

21.

Match the following

a)

x27x+10x^2-7x+10  

1.

(x-2)(x-5)

b)

x2+7x+10x^2+7x+10  

2.

(x+2)(x+5)

c)

x23x10x^2-3x-10  

3.

(x+2)(x-5)

d)

x2+3x10x^2+3x-10  

4.

(x-2)(x+5)

e)

x270x+10x^2-70x+10  

5.

not factorable

22.

Match the following

a)

x225x^2-25  

1.

(x+5)(x-5)

b)

x2+25x^2+25  

2.

not factorable

c)

x2+10x+25x^2+10x+25  

3.

(x+5)(x+5)

d)

25x225-x^2  

4.

(5+x)(5-x)

e)

x2+26x+25x^2+26x+25  

5.

(x+25)(x+1)

23.

Match the following

a)

x2121x^2-121  

1.

(x+11)(x-11)

b)

121x2121-x^2  

2.

(11+x)(11-x)

c)

x2+121x^2+121  

3.

not factorable

d)

x2+22x+121x^2+22x+121  

4.

(x+11)(x+11)

e)

x222x+121x^2-22x+121

5.

(x-11)(x-11)

24.

Match the following

a)

x29x^2-9  

1.

(x+3)(x-3)

b)

9x29-x^2  

2.

(3+x)(3-x)

c)

x2+9x^2+9  

3.

not factorable

d)

x2+6x+9x^2+6x+9  

4.

(x+3)(x+3)

e)

x26x+9x^2-6x+9  

5.

(x-3)(x-3)

25.

Match the following

a)

x281x^2-81  

1.

(x+9)(x-9)

b)

81x281-x^2  

2.

(9+x)(9-x)

c)

x2+81x^2+81  

3.

not factorable

d)

x2+18x+81x^2+18x+81  

4.

(x+9)(x+9)

e)

9x2+81x9x^2+81x  

5.

9x(x+9)

26.

Factor GCF

30x6+24x518x430x^6+24x^5-18x^4  

27.

Factor GCF

8x5+9x4+11x38x^5+9x^4+11x^3  

28.

Factor GCF

7x8+x6+4x57x^8+x^6+4x^5  

29.

Factor GCF

12x2+8x+1612x^2+8x+16  

30.

Factor GCF

30x2+20x+7030x^2+20x+70  

31.

Factor GCF

24x5+12x4+18x24x^5+12x^4+18x  

32.

Simplify

5x(3x2+4x9)5x\left(3x^2+4x-9\right)  

33.

Simplify

3(5x26x)7(2x3)3\left(5x^2-6x\right)-7\left(2x-3\right)  

34.

Simplify

7x(4x5)8(2x9)7x\left(4x-5\right)-8\left(2x-9\right)  

35.

Factor 

y216y^2-16  

a)

(y+4)(y4)\left(y+4\right)\left(y-4\right)  

b)

(y+4)(y+4)\left(y+4\right)\left(y+4\right)  

c)

(y+2)(y+8)\left(y+2\right)\left(y+8\right)  

d)

(4+y)(4y)\left(4+y\right)\left(4-y\right)  

e)

not factorable

36.

Factor 

y2+8y+16y^2+8y+16  

a)

(y+4)(y4)\left(y+4\right)\left(y-4\right)  

b)

(y+4)(y+4)\left(y+4\right)\left(y+4\right)  

c)

(y+2)(y+8)\left(y+2\right)\left(y+8\right)  

d)

(y+1)(y+16)\left(y+1\right)\left(y+16\right)  

e)

Not factorable

37.

Factor Difference of Squares

25x23625x^2-36  

Do not type spaces.

(a)  

38.

Factor Difference of Squares

x281x^2-81  

Do not type spaces

(a)  

39.

Factor out the GCF

12x518x412x^5-18x^4  

40.

Match the following

a)

x225x^2-25  

1.

(x+5)(x-5)

b)

x2+25x^2+25  

2.

not factorable

c)

16x22516x^2-25  

3.

(4x-5)(4x+5)

d)

25x225-x^2  

4.

(5+x)(5-x)

e)

9x2259x^2-25  

5.

(3x+5)(3x-5)

41.

Match the following

a)

x2121x^2-121  

1.

(x+11)(x-11)

b)

121x2121-x^2  

2.

(11+x)(11-x)

c)

x2+121x^2+121  

3.

not factorable

d)

36x212136x^2-121  

4.

(6x+11)(6x-11)

e)

22x+12122x+121  

5.

11(2x+11)

42.

Factor the trinomial

x2+90x+20x^2+90x+20  

a)

(x+4)(x+5)\left(x+4\right)\left(x+5\right)  

b)

(x+2)(x+10)\left(x+2\right)\left(x+10\right)  

c)

(x+1)(x+20)\left(x+1\right)\left(x+20\right)  

d)

Not factorable

43.

Factor 

y2+16y^2+16  

a)

(y+4)(y4)\left(y+4\right)\left(y-4\right)  

b)

(y+4)(y+4)\left(y+4\right)\left(y+4\right)  

c)

(y+2)(y+8)\left(y+2\right)\left(y+8\right)  

d)

(4+y)(4y)\left(4+y\right)\left(4-y\right)  

e)

not factorable

44.

Factor 

y2+800y+16y^2+800y+16  

a)

(y+4)(y4)\left(y+4\right)\left(y-4\right)  

b)

(y+4)(y+4)\left(y+4\right)\left(y+4\right)  

c)

(y+2)(y+8)\left(y+2\right)\left(y+8\right)  

d)

(y+1)(y+16)\left(y+1\right)\left(y+16\right)  

e)

Not factorable