Question

I will medal and fan whoever helps with my questions.

Answer 1

1. Which of the following is the factored form of the expression: 3x2 – 4x?

A. x(3x - 4)
B. x(3 – 4x)
C. (3x -1) (x -1)
D. (3x +1)(x -1)

2. Which is a completely factored form of the expression: x2 + 21x +20 ?

A. (x + 5)(x + 4)
B. (x + 10)(x + 2)
C. (x + 20)(x + 1)
D. (x + 21)(x - 1)

3. Which expression is factored form of 4x2 -9?

A. 2(x - 3)2
B. (x - 3)2
C. 2(x + 3)(x - 3)
D. (2x + 3)(2x - 3)

4. Below are factored forms of the expression: 12x3 – 36x2 . Which expression has the greatest common factor as the first term?

A. 3x (4x2 – 12x)
B. 4x2(3x -9
C. 12x2(x – 3)
D. 12x(x2 - 3x)
5. Adele’s lawn has an area of (x2 -5x -6) square feet and a length of (x + 1) feet. What is the width of the lawn in feet?

A. (x -6)
B. (x +6)
C. (x2 -4x -5)
D. (x2 -6x -7)

6. The expression below represents the area, in square meters, of a rectangle:
X2 + 5x -24
Which of the following pairs of expressions could represent the length and width, in meters, of the rectangle?

A. (x – 3) and (x + 8)
B. (x – 4) and (x + 6)
C. (x – 6) and (x + 4)
D. (x – 8) and (x + 3)

7. What is the complete factorization of 32 – 8z2?

A. -8(2 + z)(2 –z)
B. 8(2 + z)(2 – z)
C. -8(2 + z)2
D. 8(2 – z)2

8. What is the greatest common factor of: 12x2 , 24x2y2 , and 46xy?

A. 4x
B. 3x
C. 6x
D. 2x
9. Which expression is equivalent to: 2x2 -3x -35?

A. (2x + 7)(x - 5)
B. (2x - 7) (x + 5)
C. (2x - 5)(x + 7)
D. (2x + 5)(x - 7)

10. What are the factors of 81x2 + 36x + 4?

A. (9x + 2)(x +2)
B. (9x +2)(9x +2)
C. (9x -2)(9x -2)
D. (9x +2)(9x -2)

11. The top of a rectangular table has an area of: 18x2+ 69x +60.
The width of the table is 3x + 4. What is the length of the table?
(Show proof by multiplying – show your work)

12. Simplify: (x2 +2x)(5x -3)
A. 11x2 -3
B. 6x3 -6x
C. 5x3 + 7x2 – 6x
D. 5x3 – 13x2 -6x

13. Factor by grouping: 30g5 +24g3h – 35g2h2 - 28h3 Show your work!



14. Which is the correct way to factor the polynomial : x2 -16?

A. (x -4)(x -4)
B. (x -4)(x +4)
C. (x +4)(x -2)(x +2)
D. Not factorable

15. The area of a square painting is: 81p2 + 90p +25. What is the length of one side? Prove by multiplication – show your work.

Answer 2

hmm how about one at a time?

Answer 3

1 would be a since they both have x in the equation so it would factor out to be x(3x-4)

Answer 4

1. A
2. C
3. D

Answer 5

4. D

Answer 6

5. A
6.A

Answer 7

do u need the rest?

Answer 8

Please if you don't mind. I wasn't gonna do algebra but my mom put me in it and I am not understanding.

Answer 9

np! if you have time tomorrow i can help you understand it :)
7. B

Answer 10

8. D
9.A

Answer 11

10.B

Answer 12

Wow thanks so much. I got sick and got behind on work and it didn't help that I didn't understand so this is helping a lot.

Answer 13

np :)
11. (6x+15) is the length
because if you multiply out (3x+4) and (6x+15) you get:
step1-> (3x_4)(6x+15)
step2-> 18x^2 (this is 18 x squared) +45x +24x + 60
step3-> 18x^2 + 69x + 60

Answer 14

im sorry for step 1 i meant-> (3x+4)(6x+15)

Answer 15

12. C
13. Working on it
14. B
15. (9p + 5) is the length of one side. All sides of a square are equal so the length & the width will be the same.
so it would be-> (9p+5)(9p+5)
because if you multiply it out you get:
step1-> 81p^2 (this is 81 p squared) +45p+45p+25
step2-> 81p^2 +90p+25

Answer 16

Omg I don't know how to thank you! You seriously are my life saver. @mathrulezz

Answer 17

its no problem :)
13. (5g^2+4h)(6g^3-7h^2)

*The 5g^2 is 5g squared
*The 6g^3 is 6g cubed (to the third power)

if you multiply it out you get:

step1-> (5g^2+4h)(6g^3-7h^2)
step2-> 30g^5-35g^2h^2+24g^3h-28h^3

Answer 18

Thank you so so so much!

Answer 19

yw :)

Answer 20

1 is a
2 is d
3 is c