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100

x^2+9xy+14y^2

(x + 7y)(x + 2y)

100

3x^3-2x+4+4x^3+x^2-6x-5

7x^3+x^2-8x-1

100

x^2+9x+18

Factors of 18 that add to 9: 6 & 3

(x + 6)(x + 3)

100

Who is the leader of the Paw Patrol?

100

No matter what polynomial we're given, what should we always start by checking first when factoring?

Is there a GCF to factor out of each term

200

Factor the perfect square trinomial

4x^2-36x+81

(2x - 9)(2x - 9) or even better as

(2x-9)^2

200

(4x^2-3x+5)-(9x^2+4x-7)

The subtraction sign "distributes" through the 2nd parenthesis, then combine like terms-

4x^2-3x+5-9x^2-4x+7

-5x^2-7x+12


200

Factor

x^2+3x-10

Factors of -10 that add to 3

(x + 5)(x - 2)

200

Who was awarded the Super Bowl MVP award this year?

Jalen Hurts

200

Factor: 

x^2+x+12

x^2+x+12

It's already factored.  Can't be factored.

or

Prime.

300

9x^2-64

Difference of 2 squares-

(3x + 8)(3x - 8)

300

-7y^2(-2y^4+y^2-1)

14y^6-7y^4+7y^2

300

x^2-11x+18

(x - 9)(x - 2)

300

What's the name of the camp we are going to for the 8th-grade trip?

Camp Highland

300

To factor a trinomial like below, we can always apply the AC/Grouping Method, or we could just ______  _______ _______ ?


4x^2+23x+15

guess and check

400

Factor

16x^2-40x+25

This is a perfect square trinomial.  2(-5)(4x) = -40x

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

(4x-5)^2

400

(2y-6)^2

(2y-6)(2y-6)

4y^2-24y+36

400

y^2-y-56

(y + 7)(y - 8)

400

During WWII, the Axis powers comprised Germany, Japan, and what third country?

Italy

400

Factor

12x^4y+20xy

4xy(3x^3+5)

500

Factor

6y^2+7y+2

ac = 12..find factors that add to 7 (3 & 4)

6y^2+3y+4y+2

3y(2y+1)+2(2y+1)

(2y+1)(3y+2)


500

(2x-3)(3x^2-4x+5)

Double distribute... multiply all 3 terms in the 2nd parenthesis by 2x, then multiply all 3 terms again by -3.  Then combine any like terms.

6x^3-8x^2+10x-9x^2+12x-15

6x^3-17x^2+22x-15

500

Factor COMPLETELY.

5x^4-20x^3-60x^2

Factor out the GCF first. Then factor the trinomial that remains-

5x^2(x^2-4x-12)

5x^2(x+2)(x-6)

500

Who played the main Ken in the movie, Barbie?

Ryan Gosling


500

A rectangular pool has a length twice its width w, in feet.  The pool deck is 5 feet wide all along its perimeter.  What is an expression for the area of the pool and pool deck in terms of w?  Simplify and put in standard form.

Pool & pool deck length: 2w + 5 + 5

Pool & pool deck width: w + 5 + 5

Area = (2w + 10)(w + 10) =

2w^2+30w+100

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