Factoring

Finding the GCF

100

24q⁷+30q³-48q²

6q³

200

66z⁶⁷+198z⁵⁵+1848z¹⁰⁰

22z⁵⁵

300

598a¹¹-182a⁶⁶+286a⁷⁶

13a¹¹

400

36g⁴+108g²⁴-60g⁴³+85g⁵

12g⁴

500

72u⁶⁶-120u⁵⁶+152u⁷⁸-616u⁴⁵+160u⁸⁰

8u⁵⁶

Factoring Trinomials

100

x²+37x+312=0

(x+17)(x+4)

200

x²+21x+68>200=0

(x+17)(x+4)

300

3x⁵+9x⁴-210x³=0

3x³(x+10)(x-7)

400

-x²+15-54=0

(x-9)(x-6)

500

-6x⁴+42x³-432x

-6x⁴(x-8)(x-9)

Factoring Quadratics

100

x²+12+32

x={-4,-8}

200

-x²-8x+84=0

x={-6,16}    

300

3x⁹-15x⁸-42x⁷

3x⁷(x-7)(x+2)

400

-8x³-1x²+72x

-8x(x+9)(x-8)

500

-6x¹⁰+42x⁹+720x⁸

-6x⁸(x-15)(x+8)

DOPS

100

l²-25

(l+5)(l-5)

200

a²+144

a²+144

300

-h²+6561

(h-81)(h+81)

400

2b²-72

2(b-6)(6+6)

500

k⁴-81

(k²-9)(k-3)(k+3)

Facts

100

What is the standard form of a quadratic and a trinomial?

ax²+bx+c

200

What are the Difference of Perfect Squared characteristics?

1) Subtraction

2) Even Exponents

3)The coefficients have to be perfect squares

300

Factoring trinomials works when a is equal to what number?

1

400

When solving quadratics, what should our final answer be in?

Curly brackets

x={a,b}

500

Who first solved the quadratic equation?

Diophantus