Solving Quadratic Equations by Factoring

Solve in Factored Form

100

(x+3)(x-7)=0

x=-3 or x=7

200

(x+4)(x+18)=0

x=-4 or x=-18

300

(2x-7)(3x+9)=0

x=7/2 or x=-3

400

n(3n+5)=0

n=0 or n=-5/3

500

a(a-5)=0

a=0 or a=5

Leading Coefficient of 1

100

m²+2m-3=0

x=1 or x=-3

200

v²-7v+6=0

v=1 or v=6

300

x²-x-12=0

x=-3 or x=4

400

r²+7r+12=0

r=-4 or r=-3

500

p²-9p+20=0

p=5 or p=4

Leading Coefficient not 1

100

3n²-13n+4=0

n=1/3 or n=4

200

3x²-8x+4=0

x=2/3 or x=2

300

10x²+x-3=0

x=1/2 or x=-3/5

400

3a²-19a+20=0

a=4/3 or a=5

500

4v²-1=0

v=-1/2 or v=1/2

Difference of Squares/Perfect Square Trinomials

100

n²-16=0

n=-4 or n=4

200

4p²-9=0

p=-3/2 or p=3/2

300

9x²+24x+16=0

x=-4/3

400

36m²-42m=7m

m=-7/6 or m=7/6

500

9n²-+20n+12=-4 - 4n

n=-4/3

Trivia

100

Who was the 2023 NBA Finals MVP?

Nikola Jokic

200

In the hit TV series Stranger Things, what is the name of the fictional town where the story takes place? Give the city and state.

Hawkins, Indiana

300

Which movie became the highest-grossing film of 2023, surpassing $1 billion at the global box office?

Barbie

400

Which artist made history by winning the most awards at the 2023 MTV Video Music Awards?

Taylor Swift

500

What event is considered the start of the American Revolution, marked by "the shot heard 'round the world"?

The Battles of Lexington and Concord (1775)