Factoring and Quadratics

Factoring

100

Factor
3x²y+9xy²

3xy(x+3y)

200

Factor:
x²-49

(x+7)(x-7)

300

Factor:
x²+13x-14

(x-1)(x+14)

400

Factor:
2x²-7x-4

(2x+1)(x-4)

500

Factor:
3x³+3

3(x+1)(x²-x+1)

Solving Quadratics PEMDAS

100

Solve for x
x²=4

x=+/-2

200

Solve for x
x²+2=18

x=+/-4

300

Solve for x
(x+2)²=1

x=-1, x=-3

400

Solve for x:

3(x-2)²=12

x=4, x=0

500

Solve for x:

2(x-4)²+1=51

x=9, x=-1

REVIEW

100

Simplify

(x²y)³

x⁶y³

200

Simplify

(x³+x²-4)+(x³-2x²+1)

2x³-x²-3

300

Simplify

(x+4)(x-5)

x²-x-20

400

What's the degree of the polynomial

2x²y + xy³ - x²y²

Degree is 4

500

f(x)=x+1; g(x)=2x-4.  Find [f o g](x).

2x-3

Zero Product Property

100

Solve for x

(x+1)(x-2)=0

x=-1, x=2

200

Solve for x

x²+2x=0

x=0, x=-2

300

Solve for x

x²+3x-28=0

x=4, x=-7

400

Solve for x

3x²+x-2=0

x=2/3, x=-1

500

Solve for x

6x²+7x-3=0

x=-3/2, x=1/3

Completing the Square

100

Find c by completing the square

x² - 10x + c

c=25

200

Find c and the binomial for the perfect square trinomial

x² + 12x + c

c=36; (x+6)²

300

Solve by completing the square

x² + 2x - 24=0

x=4, x=-6

400

Solve by completing the square

x² + 6x - 16=0

x=2, x=-8

500

Find c and the binomial for the perfect square trinomial

x² + 5x + c

c=25/4; (x+5/2)²