Math

GCF

100

Factor. 3x+12

3(x+4)

200

Factor. 4y²-24y

4y(y-6)

300

Factor. 15a²b-30ab

15ab(a-2)

400

Factor. m³n-m²n²+5mn³

mn(m²-mn+5n²)

500

Factor. 3a³b²c-9a²b³c²+15ab⁴c³

3ab²c(a²-3abc+5b²c²)

Difference of Squares

100

Factor. a²-4

(a+2)(a-2)

200

Factor. x²-81y²

(x+9y)(x-9y)

300

Factor. m³n-mn

mn(m+1)(m-1)

400

Factor. 18x²-50

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

500

Factor. 4x²y⁴-36x⁴y²

4x²y²(y+3x)(y-3x)

Factoring Trinomials

100

Factor. n²+9n+20

(n+5)(n+4)

200

Factor. n²+6n-27

(n+9)(n-3)

300

Factor. k²-12k-64

(k+4)(k-16)

400

Factor. 3y²-15y+12

3(y-4)(y-1)

500

Factor. 4x³+4x²-120x

4x(x+6)(x-5)

Rules

100

Polynomials that cannot be factored are called____.

Prime

200

To factor a trinomial of the form x²+bx+c, you must find two integers that ____ to b and ____ to c. 

Add, Multiply

300

The formula, a²-b²=(a+b)(a-b) is used to factor a ____.

Difference of Squares

400

What is a GCF? 

The largest positive number that divides evenly into all numbers with no remainder.

500

What is the second step in factoring a GCF?

Step 2: Divide each term by the GCF and leave the remaining factors in parentheses

Miscellaneous

100

What Year was The Winchendon School founded?

1926

200

In the world of sports, what does the abbreviation NCAA stand for?

National Collegiate Athletic Association

300

Vienna is the capital of which country?

Austria

400

What was the original name of Chicago's Willis Tower?

Sears Tower

500

Who is number 19 on Winchendon Hockey VA?

Steven Khonroo