factoring quadratics

trivia

100

What method can be used for any factorable quadratic expression?

a≠1

200

If possible, how can you make your problem simpler?

Take out the GCF.

300

How can you check your answer to make sure it is correct?

Use the FOIL method.

IF YOU GOT IT WRONG --> take away 500!

400

Name one rule for identifying difference of square problems.

1) It must only have 2 terms

2) There must be a subtraction sign between the terms, not addition

500

What do most people forget to do at the end of their problem?

Bring back down the GCF they took out earlier.

GCF

100

2a² + 24a

2a(a+12)

200

16y³ - 8y

8y(2y² - 1)

300

35b² + 125b

5b(7b+25)

400

66a³ - 22a²

22a²(3a-1)

500

42y⁴ - 128y²

2y²(21y²-64)

difference of squares

100

x² - 25

(x+5)(x-5) 

200

x² - 121

(x+11)(x-11)

DOUBLE --> if you got it right add 400, if you got it wrong take away 400!

300

64x² - 9

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

400

81x² - 121y²

(9x+11y)(9x-11y)

500

49x² - 4y²

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

a=1

100

x² - 8x + 15

(b-5)(b-3)

200

r² + 14r + 40

(r+4)(r+10)

300

y² - 16y + 63

(y-9)(y-7)

400

3w² - 9w + 6

3(w-2)(w-1)

500

3x² + 21x + 30

3(x+2)(x+5)

IF YOU GOT IT WRONG --> bankrupt!

a≠1

100

7m² + 6m - 1

(7m-1)(m+1)

200

5t² + 19t + 12

(5t+4)(t+3)

300

9x² + 9x - 40 

(3x-5)(3x+8)

400

5k² + 8k + 80

trick question! not factorable

IF YOU GOT IT RIGHT --> DOUBLE your total points

500

6x² + 41x + 70

(3x+10)(2x+7)