Greatest Common Factor
Regular Factoring
Special Cases
Polynomials
Ms.K's Challenge Problems
100

The result of factoring: 2x2 + 14x

2x(x + 7)

100

To factor the trinomial x+ 8x + 16 you find two numbers that add to 8 but multiply to this...

16

100

The result of factoring: x- 4

(x+2)(x-2)

100

The degree of this polynomial: 

y=(x-2)3(x+1)(x+2)2(x-3)4

10

100

The 3 types of multiplicities (draw them). 

Ms.K will check 

200

The result of factoring:
8a - 16

8(a - 2)

200

The result of factoring:
x+ 8x + 12 

(x + 2)(x + 6)

200

The result of factoring:

27y3-64

(3y-4)(9y2+12y+16)

200

The quotient when 15y12-45y3 is divided by 5y3

3y9-9

200

The result of factoring:

ax2 - 3ax - 54a

a(x + 6)(x - 9)

300

The GCF of:
25z2 - 125xz

25z

300

The result of factoring:
x- 6x + 8

(x - 4)(x - 2)

300

The result of factoring:
8x3 + 27

(2x + 3)(4x2 -6x+ 9)

300

The zeros and their multiplicities of this polynomial: 

y= x3(x+1)(x-2)2(x+5)

(0,0): 3

(-1,0): 1

(2,0): 2

(-5,0): 1

300

Factor: 

x^6+3x^3-4

(x^3+4)(x-1)(x^2+x+1)

400

The result of factoring:
9x3 - 45xy + 9y

9(x3 - 5xy + y)

400

The result of factoring:

16x2 +31x - 2

(16x - 1 )(x + 2 )

400

The result of factoring:
81x- 1

(9x - 1)(9x + 1)

400

End behavior of 

y=-2/3x^3+5x^2+4

Odd Negative 

up on the left and down on the right 

400

The result of factoring:

9x- 42x + 49

(3x - 7)(3x - 7) or (3x-7)2

500

The result of factoring:

a3b8−7a10bd4+2a5b2

a3b2(b6−7a7b2+2a2)

500

The result of factoring:

10x2 +x - 3

(2x - 1)(5x +3)

500

The result of factoring:
54x3 + 250

2(3x + 5)(9x2 - 15x+25)

500

Solve the following polynomial: 

4x^6+4x^5-24x^4=0

x=0

x=-3

x=2

500

The result of factoring:

8x^6y^12+27

(2x^2y^4+3)(4x^4y^8-6x^2y^4+9)

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