REVIEW ON FACTORING

Factoring trinomials when a=1

100

Factor into two binomials: x^2+10x+25

(x+5)(x+5)

200

Factor into two binomials: x^2-12x+27

(x-9)(x-3)

300

Factor into two binomials: x^2+2x-24

(x+6)(x-4)

400

Factor into two binomials: x^2-5x+6

(x-3)(x-2)

500

Factor into two binomials: y^4-7y^2-18

(y^2-9)(y^2-2)

Mathy Stuff

100

How many sides does a nonagon have?

Nine

200

What is the next prime number after 19?

23

300

A bag contains 4 red marbles and 6 blue marbles. What is the probability of picking two red marbles in a row without replacing them?

1/90, 2/15, or 13%

400

What are the first four decimal places of pi? (No calculators or the point goes to the other team.)

3.1415

500

Who is the Pythagorean Theorem named after?

Pythagoras

Factor using the GCF

100

Factor 3x^2-12x

3x(x-4)

200

Factor: x^(b+1)-x^b

x^b (x-1)

300

Factor: y^(a+2)+2y^a

y^a (y^2+2)

400

Factor: 4ab^2-12a^2b

4ab(b-3a)

500

x^(2+k)-4x^4

x^2(x^k-4x^2)

Factoring Monstrosity

100

Factor completely: a^2b^2-144a^2

a^2(b+12)(b-12)

200

Factor completely: x^4-625

(x+5)(x-5)(x^2+25)

300

Factor completely: y^4-81

(y^2+9)(y+3)(y-3)

400

Factor completely: 2x^3+14x^2-60x

2x((x+10)(x-3)

500

Factor completely: 80-5d^2

5(4+d)(4-d)

Factoring the difference of two perfect squares

100

Factor: x^2-16

(x+4)(x-4)

200

Factor: 9-x^2

(3+x)(3-x)

300

25y^2-4k^2

(5y+2k)(5y-2k)

400

(1/4)x^2-(49/25)

(1/2x-7/5)(1/2x+7/5)

500

x^2+100

Can not be factored because of the plus sign.