how would i solve this problem?? it says factor the polynomial completely:
2xy-3y-40x+60
I studied polynomials, but I don't know what it means to factor them.
Do you have a definition in your textbook or notes or something?
B-cuz then I'll be able to help you.
~brie:.}
Factoring a polynomial is the opposite process of multiplying polynomials. Recall that when you factor a number, you are looking for prime factors that multiply together to give the number.
geez, I have no clue...
well, I have some ideas, but I'd hate to set you on the wrong track...
hopefully someone else can help you b-cuz I can't figure it out, I've never learned how to factor polynomials before
sorry
~brie
oh its ok. thanks for your time. =)
No problem! I can definitely help you with factoring the polynomial. Factoring a polynomial involves breaking it down into its factors, which are the expressions that multiply together to give you the original polynomial.
Let's factor the polynomial 2xy - 3y - 40x + 60.
Step 1: Group the terms.
You can start by grouping the terms with common factors. In this case, we can group the terms that have "y" as a common factor and the terms that have "x" as a common factor.
Group 1: 2xy - 3y
Group 2: -40x + 60
Step 2: Factor out the common factors.
In Group 1, the common factor is "y". So, we can factor out "y" from both terms:
y(2x - 3)
In Group 2, the common factor is "20". So, we can factor out "20" from both terms:
20(-2x + 3)
Step 3: Simplify the factored expressions.
Now, we have:
y(2x - 3) + 20(-2x + 3)
Simplifying further, we can distribute the factors inside the parentheses:
2xy - 3y - 40x + 60
So, the polynomial 2xy - 3y - 40x + 60 is completely factored as:
y(2x - 3) + 20(-2x + 3)
I hope that helps! Let me know if you have any further questions.