Factoring
Factoring trinomials
Special Cases
Factoring Completely
Potpurri
100

5x - 15x3

5x(1-3x2)

100

x^2 + 6x - 7

(x + 7)(x - 1)

100

Identify the special case and factor it:

x2 + 12x + 36

Perfect Square Trinomial

(x + 6)2

100

Is this completely factored?  If not, what needs to be done to completely factor it?

4x2 + 10x + 6 = (4x + 6)(x + 1)

Not completely factored:

2(2x + 3)(x + 1)

100

What is the full name of the main character in the Wizard of Oz?  (hint: who Megan is playing)

What is Dorothy Gale

200

-14v - 21

-7(2v + 3)

200

2x^2 + 11x + 5

(2x + 1)(x + 5)

200

Identify the special case and factor it:

100x2 - 81

Difference of Two Squares (or DOTS)

(10x + 9)(10x - 9)

200

Is this completely factored?  If not, what needs to be done to factor it completely?

3y2 + 75 = 3(y2 + 25)

Yes!  It is factored completely.

200

Spell Mrs. C's last name

CHONGPINITCHAI

300

4a2 - 12a - 8

4(a2 - 3a - 2) 

*this cannot be factored further*

300

5x2 - 9x - 2

(5x + 1)(x - 2)

300

Is this a perfect square trinomial? If yes, factor.  If no, explain:

x2 + 5x + 25

No it is not because the middle term is not (2)(x)(5)

300

Factor completely:

3b5 - 6b4 - 24b3

3b3(b - 4)(b + 2)

300

What is the date of Easter 2025?

April 20th, 2025

400

n3 - n - 4n2 - 4

(n2 + 1)(n - 4)

400

6x2 + 17x - 14

(3x - 2)(2x + 7)

400

Is this a difference of two squares?  If so, factor it.  If not, explain

100p2 + 25

No it is not because this is a SUM not a DIFFERENCE

400

Factor completely:

2x4 - 50x2

2x2(x - 5)(x + 5)

400

What year did "Mr. Brightside" by the Killers come out?

2003

500

5r - 10 + 2r - r2

-1(r - 5)(r - 2)

500

12d2 + 7d - 12

(4d - 3)(3d + 4)

500

Factor:

16b4 - 121c6

(4b2 - 11c3)(4b2 + 11c3)

500

Factor completely (hint: your answer will have a GCF with 3 binomials)

10m3 + 4m2 - 90m - 36

2(m + 3)(m - 3)(5m + 2)

500

This state was the only one to not attend the Constitutional Conventional. It feared having all its power “swallowed up” by the larger states.

What is Rhode Island

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