Factoring & Quadratic Equation; a=1

Math Vocabulary

100

What do we call the number multiplied by a variable, such as the 5 in 5x?

What is Coefficient 

200

What do we call the result of addition?

What is Sum

300

What do we call a term without a variable, such as the 7 in x²+3x+7?

What is Constant 

400

What do we call the results of multiplication? 

What is Product 

500

Give an example of a quadratic polynomial written in factored form.

Ex: (x+2)(x+4)

EX: (x+1)(x+3) 

Ex: (x-4)(x-5) 

Factoring- Positive Terms

100

Factor: 

x²+8x+7

(x+1)(x+7)

200

Factor:

x²+7x+12

(x+3)(x+4) 

300

Factor:

n²+11n+30

(x+5)(x+6)

400

Factor: 

x²+9x+18

(x+3)(x+6)

500

Factor: 

y²+13y+40 

(y+5)(y+8)

Factoring - Negative Terms

100

Factor: 

x²-9x+20

(x-4)(x-5) 

200

Factor: 

x²-2x-15 

(x-5)(x+3)

300

Factor:

d²-10d+24 

(d-4)(d-6)

400

Factor: 

w²-17w+72

(w-8)(w-9)

500

Factor: 

x²-13x+42

(x-6)(x-7)

Factor & Solve

100

Factor and solve: 

x²+3x+2=0

(x+1)(x+2)=0; 

x=-1 or -2 

200

Factor and solve:

x²-9x+18=0

(x-3)(x-6)=0;

x=3 or 6

300

Factor and solve: 

x²+2x=15

(x-3)(x+5)=0;

x= 3 or -5

400

Factor and solve:

y²-2y-8=7

(y+3)(y-5)=0;

y=-3 or 5

500

Factor and solve:

b²+5b=8b-10

(b-3)(b-5)=0;

b=3 or 5

Only write in Standard Form

100

Write in Standard form:

n²-5n=24

n²-5n-24=0

200

Write in standard form:

a²+5a-20=30

a²+5a-50=0

300

Write in standard form:

y²-2y-8=7

y²-2y-15=0

400

Write in standard form:

m²+10=15m-34

m²-15m+44=0

500

Write in standard form:

b²+5=8b-10

b²-8b+15=0