# Algebra

Simplify (-24x^3+18x+6)/(6x+3)

-4x^2+2x-2
4x^2-2x-2
4x^2+2-2
-4x^2+2x+2

I need a bit help on this. I don't know how to do it. I think the first step is divide 18x+6 with 6x+3 and 6x+3 divide by 6x+3.

1. 👍
2. 👎
3. 👁
1. Dividing just part of the numerator won't get you very far.
In cases like this, your best bet is to look for common factors. The denominator is very simple, so you should look for a factor of (2x+1) in the numerator.

(-24x^3+18x+6) = -6(4x^3-3x-1) = -6(x-1)(2x+1)^2
-6(x-1)(2x+1)^2 / 3(2x+1) = -2(x-1)(2x+1) = -4x^2+2x+2

1. 👍
2. 👎
👤
oobleck
2. Thank you!

1. 👍
2. 👎
3. know the answers to the full connexus test?

1. 👍
2. 👎
4. tell em o

1. 👍
2. 👎
5. oobleck or did you mean Oblock

1. 👍
2. 👎
6. does some one have the answers to the whole test

1. 👍
2. 👎
7. do you guys have the test answers?

1. 👍
2. 👎
8. plz help with the answers plz

1. 👍
2. 👎
9. I’ll post them when I finish it.

1. 👍
2. 👎

1. 👍
2. 👎
11. 2k people saw this and it was posted In 2019 and yet nobody had the answers?....

1. 👍
2. 👎
12. 1. 18x^2 + 6 + 4x - 15x^2 - 4 + 13x
A; 3x^2 + 17x + 2

2. 4x^2 + 4 - 5x + x - 2x^2 + 8
D; 2x^2 - 4x + 12

3. 4x^2 + 8x - 11x + 6 - 5x^2 + 2
A; -x^2 - 3x + 8

4. Coefficient of x in the expression -5x - 4x^2 + 9
B; -5

5. (m^2 - m - 4) + (m - 5)
D; m^2 - 9

6. (7x^2 - x - 2) - (-6x^3 + 3)
A; 6x^3 + 7x^2 - x - 5

7. Total earnings when adding 7t - 1 and 8t + 5
D; 15t + 4

8. f^2 * f^3
A; f^5

9. 64^10/64^5
D; 64^5

10. x^11/x^4
A; x^7

11. 4^4 * a^10
A; 4^14

12. 2^2 * 2^22
D; 2^24

13. 3^4/3^4
C; 1

14. 3^3/3^6
A; 1/27

15. (8 * 10^3) (7 * 10^5) in Scientific notation
B; 5.6 * 10^16

16. (2.2 * 10^-3) (4 * 10^-2) in Scientific notation
D; 8.8 * 10^-5

17. 7t^4 * 7t^4
A; 49t^8

18. -6(4x + 9)
D; -24x - 54

19. 4k^2(-3k^2 - 4k + 5)
A; -12k^4 - 16k^3 + 20k^2

20. (-8x) * 3x^2
C; -24x^3

21. (5y^2 - 2y) + (9y^2 - 9y)
C; 14y^2 - 11y

22. and 23. will most likely be different, so do them yourself.

Note that my answers are for the Connections Academy California students, and that each question may vary from student to student in order to prevent cheating, so check if your question matches mine first before inputting your answers.

If you are still stuck, I would recommend using Demos or the Symbolab calculators—especially the latter. Hope this helps any future 7th grade Math students!

1. 👍
2. 👎
13. Woops, my mistake, this is for the 7th Grade Unit 6: Polynomials and Properties of Exponents Unit Test (PART 1).

1. 👍
2. 👎

## Similar Questions

1. ### Math

1. Simplify. 3x^2+ 5x-5x^2-4x+5-2 A.-8x^2-9x+3 B.2x^2+x+3 C.-2x^2-9x+3*** D.-2x^2+x+3 2. Add or Subtract.(8x – 2y) + (3x – 4y) A.11x+8y B.4x-y C.11x-6y*** D.5x+2y 3.(5x^2-4x-1)-(-4x^2-4) A.-9x^2-8x-1 B.9x^2-4x+3*** C.x^2-4x-3

2. ### Calculus

Use the algorithm for curve sketching to sketch the graph of each function. a) f(x) 4x^3+6x^2-24x-2 1. First to find intercepts y=0 0=4x^3+6x^2-24x-2 =2(2x^3+3x^3-12x-1) I don't know how to find the x-intercept. I can't use

3. ### Math

9x^2+16y^2-18x+64y-71=0 find the coordinates of the center, the foci, and the vertices of this ellipse. 9x^2+16y^2-18x+64y-71=0 9x^2-18x+16y^2+64y=71 9(x^2-2x)+16(y^2+4y)=71 9(x^2-2x+1)+16(y^2+4y+4)=71

4. ### algebra

Please can someone help me? Thanks! Find the least common multiple of each pair of polynomials: 12x^2-6x-126 and 18x-63 Simplify each sum: 5y+2 2x-4 ---- + ----- xy^2 4xy

1. ### algrebra 1

simplify the square root of ( 18x^2 divided by 50) thank you I tried doing like 9x2x^2 divided by 25 x2...then i got stuck thank you so much...my mom and dad can't help me with this kind of stuff

2. ### Algebra

What is the coefficient of x^3 when 24x^4+6x^3+4x^2-7x-5 is multiplied by 6x^3+3x^2+3x+4 and the like terms are combined? I got 144x^7+108x^6+90x^5+114x^4+24x^3 so the answer would be 24. But I am not sure if I am right.

3. ### Intermediate Algebra

Simplify the following exponents and rewrite it in an equivalent form with positive exponents..24x^3y^-3/72x^-5y^-1

x-2 6x ____ - _____ 3x+4 x+1 *You are supposed to simplify the expresion.I really need help with this and some other problems.Please and Thank you.- Perhaps I could help but I can't make heads or tails of your posts. Try using

* I don't get this problem at all... 4(x+2) 6x^2 ------ * ---- 5x 2x what are the directions? in the denominator, you have 10x^2 in the numerator, you have 24x^2(x+2) the x^2 divides out, and the numbers can be reduced. that would

2. ### Inter. Algebra

Count Iblis what is the answer to 2 square root sign 18x? The instructions say to simplify or reduce. 2*(18x)1/2= 2*(9*2)1/2= 2*3(2)1/2= 6*(2)1/2 If you can leave it in this form, the above is the way to end. If you are to

3. ### algebra 1 help

simplifying square roots 1) find volume of this prism? v=bwh b=√12" w=√6" h=√8" 2)simplify: √576 3)simplify: √400 4)simplify: √256 5)simplify: √(1/4) ex 2√5 + 6√5= 8√5 the answer has to be in √ but i don't

4. ### Math

Can you please check my answers for these questions? I'm having a little trouble with my signs, because I sometimes substitute in wrong, so I get these wrong because of that, Thank you! For the following problems, use f(x) = x^2+