Quadratic Formula
Factoring
Exponential Functions
Factoring Completely
100

x2+4x−5=0

x=1,−5

100

x2+5x+6

(x+2)(x+3)

100

A population starts at 200 and grows by 5% each year.
Write the exponential function.

y=200(1.05)x

100

(8x+4)(X-3)

4(2x+1)(x−3)

200

2x2+3x−2=0

x=1/2,−2

200

x2−9

(x−3)(x+3)  

200

A car is worth $15,000 and decreases by 12% each year.
Write the exponential function.

Answer

y=15000(0.88)x

200

2(x2+5x+6)

2(x+2)(x+3)

300

3x2+7x−6=0

x=2/3, -3

300

2x2+7x+3

(2x+1)(x+3)

300

A savings account starts with $800 and grows by 7% annually.
How much money will be in the account after 3 years?

y=800(1.07)3

y=980.03

300

4x2+24x+20

4(x+1)(x+5)

400

4x2−81=0

x=+/- 4.5

400

3x2−27


3(x−3)(x+3)

400

A gym membership starts with 450 members and increases by 18% each year.
Write the exponential function and find the number of members after 4 years.

y=450(1.18)4

y≈872 

400

6x2−54

6(x−3)(x+3)

500

−3x−5=-7x2

x≈1.086, −0.657


500

6x2−7x−3

(3x+1)(2x−3)

500

A town population starts at 25,000 and decreases by 4.5% each year.
What will the population be after 10 years? Round to the nearest whole number.

y=25000(0.955)10

y≈15772 

500

8x2−28x−24

4(2x+1)(x−3)

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