Question 175173: I am in desperate need of understanding Algebra. Would you please help me!?
1). Factor Out the GCF in this expression:
〖15x〗^2 y^2-〖9xy〗^2+〖6x〗^2 y
2). Use grouping to factor each Polynomial completely:
x^3+ax+3a+〖3a〗^2
3). Factor this polinomial. If it is prime, please tell me.
18z + 45 + z^2
the same with the next one:
4). 〖3x〗^3 y^2-〖3x〗^2 y^2+〖3xy〗^2
Thank you so much!
Found 2 solutions by stanbon, Blowpops:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 1). Factor Out the GCF in this expression:
〖15x〗^2 y^2-〖9xy〗^2+〖6x〗^2 y
2). Use grouping to factor each Polynomial completely:
x^3+ax+3a+〖3a〗^2
3). Factor this polinomial. If it is prime, please tell me.
18z + 45 + z^2
the same with the next one:
4). 〖3x〗^3 y^2-〖3x〗^2 y^2+〖3xy〗^2
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your posting is very confusing.
Cheers,
Stan H.
Answer by Blowpops(1) (Show Source):
You can put this solution on YOUR website! If these are for Math 209, then this is how you factor them.
1). Factor Out the GCF in this expression:
15x^2 y^2-9xy^2+6x^2y
ANSWER:First thing to do is determine what numbers can be multiplied to get 15, 9 and 6. In this case, it will be 3, which is your common number. Then find the rest of your greatest common factors of x and y. In this case, the GCF is 3xy and you then delete it wherever you can. This should leave you with 5xy-3y+2x. To check multiply your GCF of 3xy(5xy-3y+2x) and you should get your original equation of 15x^2y^2-9xy^2+6x^2y
2). Use grouping to factor each Polynomial completely:
x^3+ax+3a+3x^2
ANSWER: First thing to do with this is change the order to group like items.
x^3+3x^2+ax+3a. Find your GCF, which are x^2 and a. Delete them from your equation. This will leave you with (x+3)(x+3).
3). Factor this polinomial. If it is prime, please tell me.
18z + 45 + z^2
ANSWER: To determine if a number is prime, you have to search for pairs of numbers that you can add to make the sum and also multiply to get the product. Again, the first thing you do is rearrange the equation to group like items z^2+18z+45. You need to find a set of numbers with the sum of 18 and product of 45. Examples 1,45/3,6/2,9/5,9/3. For this problem, the set will be 3,15 because when you add them you get 18 (the sum) and multiplied they are 45 (the product). Substitute them into your equation (z+15)(z+3) so you can use the FOIL method and multiply to check them. FOIL gives you z^2+3z+15z+45. Then add like terms, which gives you z^2+18z+45.
4). 3x^3y^2-3x^2y^2+3xy^2
ANSWER: In this equation, the numbers are the same, only 0,3 will work for the sum. Although this works for the sum, it doesn't work for the product, so it is prime.
Hope this helps to explain it to you.
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