1. use the zero product property to solve the equation.

(x-9)(x-8)=0
A- x=-8 or -9
B- x=8 or 9
C- x=-2 or -3
D- x=0

2. use the zero product property to solve the equation.
(4k+5)(k+7)=0
A- k=5/4 or 7
B- k=5/4 or -7
C- k= -5/4 or -7
D- k= -5/4 or 7

3. solve by factoring.
g²+4g-32=0
A- g=32 or 28
B- g=4 or 8
C- g=2 or -16
D- g=4 or -8

4. solve by factoring.
s²-14s+45=0
A- s=3 or 15
B- s=-5 or -9
C- s=5 or -9
D- s=5 or 9

5. solve by factoring.
2z²-21z-36=0
A- z=6 or -6
B- z or 3 or -24
C- z=-3 or 24
D- z=-3/2 or 12

6. solve by factoring.
c²=5c
A- c=0 or 1
B- c=1 or 5
C- c=0 or 5
D- c=5 or 25

7. solve by factoring.
p²-4p=21
A- p=1/4 or 21
B- p=3 or 7
C- p=-3 or 7
D- p=3 or 7

8. solve by factoring.
2w²-11w=-12
A- w=3/2 or 4
B- w=1 or 12
C- w=1 or 7
D- w=2.5 or 6

9. write the equation in standard form. then solve.
4q²+3q=3q²-4q+18
A- q=2 or 9
B- q=0 or 18
C- q=-9 or 2
D- q=-7 or 3

10. you are knitting a blanket. you want the area of the blanket to be 24ft². you want the length of the blanket to be 2 ft longer than its width. what should the dimensions of the blanket be?
A- 6 ft by 8 ft
B- 3 ft by 8 ft
C- 2 ft by 12 ft
D- 4 ft by 6 ft

B

C
D
D
D
C
C
A
C
D

Helping hand is correct 100%

1. b; x=8 or 9
2. c; k=-5/4 or -7
3. d; g^2+4g-32=0
4. d; s=5 or 9
5. d; z=-3/2 or 12
6. c; c=0 or 5
7. c; p=-3 or 7
8. a; w=3/2 or 4
9. c; q=-9 or 2
10. d; 4ft by 6ft

bruh im on another level of tired bro. all your answers are right joker but i missclicked 3 times. questions 2, 6, and 9. so my stupid self got 70% but if i wasnt that tired i wouldve gotten 100%

helping hand correct in 2025

#1

(x-9)(x-8)=0
The zero product property means that if you have a sequence of multiplier and the result is zero, then any one of the multipliers could have been zero

so above, either
x - 9 = 0 or x - 8 = 0
solving each one ...
x = 9 OR x = 8

#2 - #7 are all like that, assuming that you know how to factor

#10 is just the same kind except you have it in "word problem" style and need to first find the equation.

width --- x
length = x+2
area = 24
x(x+2) = 24
x^2 + 2x - 24 = 0
(x+6)(x-4) = 0

finish it up...

the answers above are 100% correct!!!! THX SO MUCH!!!!!

Annyomous joker is 💯 right

@HelpingHand is 100% correct for 2021-2022 school year.

Correct in 2022

bru