SOLUTION: Im sorry if this is in the wrong place, knew it went in either Polynomials or quadratic. It's factoring equations so... Ok we just got into this stuff in Alg. II and I can't fig

Question 28854: Im sorry if this is in the wrong place, knew it went in either Polynomials or quadratic. It's factoring equations so...
Ok we just got into this stuff in Alg. II and I can't figure out for the life of me how to do these, we worked on them in groups at school so I had help on the other ones but these last ones are the ones I didn't get done, I have looked on the internet how to do them, my parents are oblivious to this stuff, etc.

So if anyone can help me with these I would really appreciate it.

Also if you know the answers could you show me how you did them in a step by step format as well as the answer, then I could write them down in my notebook to study later, I really want to understand this stuff.

Factoring:

1. 3a2-24a+48

2. 3x2+xy-6x-2y

3. 52-5st-14t2
4. 6x2+13x-5

Setting to Zero

1.y3+5y2+4y=0

2. (d-3)(d+5)=-12

Also my teacher said there is a possibility that any of these may be prime.

Thnx a bunch.
If you want what I got to the problems let me know although I didn't get past like the 2nd line on my paper for each problem.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
#1. Common factor of "3".
3(a^2-8a+16)
3(a-4)(a-4)=a(a-4)^2
#2Factor and 1st two then the 2nd two terms as follows:
x(3x+y)-2(3x+y)
Common factor of (3x=y)
(3x+y)(x-2)
#3 prime
#4 Use the AC method.
ac=6(-5)=-30
b=13
Find two numbers whose product is ac=-30
and whose sum is b=13
The numbers are 15 and -2
So, rewrite the problem using 15x-2x in place of the 13x, as follows:
Rewrite as 6x^2+15x-2x-5
Factor the 1st two then the last two terms, as follows:
3x(2x+5)-(2x+5)
Common factor of (2x+5)
(2x+5)(3x-1)
Cheers,
Stan H.

RELATED QUESTIONS
In using the factoring method of solving quadratic equations, we put it in the form:... (answered by solver91311)

We know that for scalars (real numbers) if ab = 0 then either a = 0 or b = 0. This is not (answered by KMST)

im sorry if this is the wrong section to ask it in but here it is... ( x^3 / 64 ) ^2/3 (answered by josmiceli)

Ok my problem is a graph and im supposed to find the quadractic function and put it in... (answered by solver91311,stanbon)

I have my math final for my Algebra 1B class. This final has 66 questions. The material... (answered by edjones)

Our class got assigned a project on polynomials involving writing a research paper and... (answered by MathLover1)

How do I solve the following equation? n + 2 / 5 = n - 14 My original... (answered by ankor@dixie-net.com)

ok so i got this study guide and it tells me 3/8 divide by 2 3/4. i have tried it many... (answered by AnlytcPhil)

ok we are doing writing systems equations from word problems: here is one of them (answered by stanbon)