Solving Quadratic Equations by Factoring Review

Zero Product Property

100

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

x=-3 and 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 and x=-3

400

n(3n+5)=0

n=0 and n=-5/3

500

DOUBLE JEOPARDY - Wager up to your total points! a²(6a-21)=0

a=0 and a=7/2

Zeros

100

f(m)=m²+2m-3

m=1 and m=3

200

f(v)=v²-7v+6

v=1 and v=6

300

y=x²-x-12

x=-3 and x=4

400

f(r)=r²+7r+12

r=-4 and r=-3

500

f(p)=p²-9p+20

p=5 and p=4

Solve Equations

100

3n²-13n+4=0

n=1/3 and n=4

200

3x²-8x+4=0

x=2/3 and x=2

300

DOUBLE JEOPARDY - Wager up to your number of points! 10x²+x-3=0

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

400

3a²-19a+20=0

a=4/3 and a=5

500

4v²-1=0

v=-1/2 and v=1/2

Solve Equations Challenge

100

n²+7n+14=2

n=-4 or n=-3

200

5p²=9p

p=9/5 or p=0

300

3x²+5x=2

x=1/3 or x=-2

400

15m²-2=-m

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

500

14n²-7n-5=-n²-1

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

Miscellaneous

100

r(3r+5)=0

r=-5/3 or r=0

200

3n²+13n+12=0

n=-4/3 or n=-3

300

The x-intercepts, in coordinate form (x,y), for the equation:  2x²-11x-21

(7,0) and (-3/2,0)

400

The special case that only results in one x-intercept. 

Perfect Square

500

-x²+2x-19=-4-2x²

x=-5 or x=3