Math ?? factoring help?

[SondraC]

Does anyone know how to factor this polynomial completely?

3c^4+24c^3+48c^2

Please help!

 

[LivingtheWDWdream]

well 3 is a factor of the coefficients and I might be incorrect but I'd pull 3c^2 out of each to make:

3c^2(c^2+8C+16)
3c^2(c+4)(c+4)

I may be wrong but that is the best I could come up with.

 

[SondraC]

Thanks for the help!

 

[wvjules]

3c^2(c+4)^2

 

[foolishmortal]

mississippi river





sorry best answer I could give.

 

[SondraC]

Any input on these??

12n^3-48 and 3d^3+4d-2

Thanks for the real help on these!! My brain isn't what it once was!

 

[wvjules]

12n^3-48 = 12(n^3-4)


I'm stuck on the second one.

 

[SondraC]

12n^3-48 = 12(n^3-4)


I'm stuck on the second one.

Thanks! Can you tell me how you did it?

 

[ilovefh]

Could you pull d for the second one and get d(3d^2+4)-2?

 

[okeydokey]

mississippi river





sorry best answer I could give.

 

[okeydokey]

First factor out the 3c^2 and you get:

3c^2(c^2 + 8c + 16)

This can then be factored to:

3c^2(c+4)(c+4)

Could be simplified to:

3c^2(c+4)^2

 

[taylor3297]

well 3 is a factor of the coefficients and I might be incorrect but I'd pull 3c^2 out of each to make:

3c^2(c^2+8C+16)
3c^2(c+4)(c+4)

I may be wrong but that is the best I could come up with.

This is correct.

 

[taylor3297]

First factor out the 3c^2 and you get:

3c^2(c^2 + 8c + 16)

This can then be factored to:

3c^2(c+4)(c+4)

Could be simplified to:

3c^2(c+4)^2

Make sure the math teacher will accept this answer, since (c+4)^2 can also be still factored to (c+4)(c+4). Some math teachers can be really particular.

 

[damo]

Any input on these??

12n^3-48 and 3d^3+4d-2

Thanks for the real help on these!! My brain isn't what it once was!

The first one can only be common factored like WVJules showed above. The second one is not factorable any further.

 

[taylor3297]

Could you pull d for the second one and get d(3d^2+4)-2?

No because the d would need to be a factor for all 3 terms.

12n^3-48
12(n^3-4)

3d^3+4d-2 cannot be factored. For it to be factored you would need a d^2 power in there somewhere.

 

[damo]

Make sure the math teacher will accept this answer, since (c+4)^2 can also be still factored to (c+4)(c+4). Some math teachers can be really particular.

The c^2 can also be factored to (c)(c) but no teacher would prefer that as a final answer. The best answer is left in the squared form.

 

[PrincessKsMom]

A friend who is a high school teacher was asking a co-workers about Algebra help for our daughters. She suggested the following website:

www.khanacademy.org

It seems to have everything, Algebra, Geometry, History...

My daughter was having a hard time with the info we got out of a book, so she watched the video and understood immediately. Hope this helps not only you, but others.

 

[taylor3297]

The c^2 can also be factored to (c)(c) but no teacher would prefer that as a final answer. The best answer is left in the squared form.

It depends on what level of math one is teaching. I am a math teacher and I would prefer for my beginning Algebra students to factor out the (c+4)^2 to the (c+4)(c+4) since many will ignore the ^2 if a number is to be substituted in for the c and was asked to solve.

Yes c^2 can be (c)(c) and no I wouldn't want that factored out but you are only dealing with the one term and not another term to go along with it.

 

[damo]

It depends on what level of math one is teaching. I am a math teacher and I would prefer for my beginning Algebra students to factor out the (c+4)^2 to the (c+4)(c+4) since many will ignore the ^2 if a number is to be substituted in for the c and was asked to solve.

Yes c^2 can be (c)(c) and no I wouldn't want that factored out but you are only dealing with the one term and not another term to go along with it.

I'm a high school math teacher and I would never prefer that students leave (c+4)^2 as (c+4)(c+4) when asked to factor. I probably wouldn't mark it wrong but it just shows that the kids are more on the ball if they leave it squared. It is just proper form and I am a stickler on proper form right from the start.

 

[SondraC]

Thanks for the help!!!!!