Solving Quadratic Equations by Factoring Review

Zero Product Property

100

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

x=-3 or x=7

200

Can the zero product property be applied to the following equation? Why or why not? (x+4)(x+18)=7

No - two things are being multiplied together, but they are not set equal zero.

300

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

x=7/2 or x=-3

400

n(3n+5)=0

n=0 or n=-5/3

500

DOUBLE JEOPARDY -  If a quadratic is not factorable, does it have solutions?

It can,
Can have none, one, or two

Zeros

100

f(m)=m^2+2m-3

1 and 3

200

f(v)=v^2-7v+6

1 or 6

300

y=x^2-x-12

-3 and 4

400

f(r)=r^2+7r+12

-4 and -3

500

f(p)=p^2-9p+20

5 or 4

Solve Equations

100

3n^2-13n+4=0

n=1/3 or n=4

200

3x^2-8x+4=0

x=2/3 or x=2

300

DOUBLE JEOPARDY - Wager up to your number of points! 10x^2+x-3=0

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

400

3a^2-19a+20=0

a=4/3 or a=5

500

4v^2-1=0

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

Solve Equations Challenge

100

n^2+7n+14=2

(Hint, move things around so your equation is set equal to zero)

n=-4 or n=-3

200

5p^2=9p

(Hint, move things around so your equation is set equal to zero)

p=9/5 or p=0

300

3x^2+5x=2

(Hint, move things around so your equation is set equal to zero)

x=1/3 or x=-2

400

15m^2-2=-m

(Hint, move things around so your equation is set equal to zero)

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

500

14n^2-7n-5=-n^2-1

(Hint, move things around so your equation is set equal to zero)

n=-1/3 or n=4/5

Miscellaneous

100

r(3r+5)=0

r=-5/3 or r=0

200

3n^2+13n+12=0

n=-4/3 or n=-3

300

What are the coefficients of the equation below:


5x^2 - 12 x + 2

a=5
b= -12
c = 2

400

In our snowflake, if the top number is negative, that means that our factors must be

Opposite signs,
One positive one negative

500

-x^2+2x-19=-4-2x^2

x=-5 or x=3