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Rules/Steps to Factoring
Factoring I
Factoring II
Fill in the Blank
Mental Math
100

When factoring a trinomial, how many sets of parenthesis will you have in your answer?

Two

100
Factor: x2 + 23x + 42
(x+21)(x+2)
100

Factor: x2 - 16x + 60

(x-10) (x- 6)

100

v2 + 2v + 1 = 

(v + 1)(v + __ )

1

100

4952

245,025

200
What is the importance of the 2nd sign of the trinomial?
It tells us the signs of the 2 binomial factors. If it is a + sign, it tells us both signs will be whatever the 1st sign is. If it is a - sign, it means that there will be one + and one -.
200
Factor: h2 - 14h - 72
(h-18)(h+4)
200

Factor:  h2 - 19h + 78

(h- 13) (h  -6)

200

m2 - 8m + 15 = 

(m - 5)(m -___ )

3

200

182

324

300
When factoring ANY trinomial, what must you check for?
To see if a greatest common factor (GCF) can be factored out.
300
Factor: m2 + 24m - 81
(m-3)(m+27)
300

Factor: v2 - 4v - 12

(v + 2)(v -6)

300

w2 - 7w + 12 = 

(w - 3)(w - ___)

4

300

99 x 101

9999

400

What are the rules for figuring out the 2 numbers in the parenthesis when factoring a trinomial of form x2 + bx + c?

They must multiply to equal "c" and add up to equal "b".

400

A rectangular patio has an area of x2 + 14x + 48. If the length of it is (x + 8) what is the width?  Reminder Area = length x width.

(x+6)

400

The area of a rectangular window is given by the trinomial x2 - 14x + 48. The window’s length is (x - 8). What is the window’s width?  Reminder Area = length x width.

( x- 6)

400

k2 + 4k - 12 = 

(k + 6)(k  - )

2

400

48 x 52

2496

500
John factored n2 - 6n + 9 to be (n-3)(n+3). Find his error.
it should be (n-3)(n-3)
500

A rectangular window has an area of c2-9c-52. What are the possible dimensions of the window?  Reminder Area = length x width.

(c-13)(c+4)

500

A rectangular tabletop has an area of t2 + 2t - 99. What are possible dimensions of the tabletop? Use factoring.  Reminder Area = Length x Width

( t + 11) (t - 9)

500

p2 - 7p - 60 = 

(p + 5)(p - ___)

12

500

722

5184