A community for students.
Here's the question you clicked on:
 0 viewing
baby456
 one year ago
Please help me with factoring 10m^3n^215m^2n^1 medal + fan just don't just give me the answer. Explain IT.
baby456
 one year ago
Please help me with factoring 10m^3n^215m^2n^1 medal + fan just don't just give me the answer. Explain IT.

This Question is Closed

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1\(\large 10m^3n^215m^2n^1\) You are factoring a twoterm polynomial. Start by factoring a common factor out of both terms. What is the GCF of both terms?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Correct. For the number parts, 10 and 15, you can factor out 5. What about for the variable parts? What do m^3 and m^2 have in common?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Not a number. It's a variable to a power.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1435094377519:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1m^3 and m^2 have m^2 in common.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Then we see what n^2 and n^1 have in common. dw:1435094442799:dw n^2 and n^1 have n in common.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1That means the GCF of the two terms is 5m^2n

baby456
 one year ago
Best ResponseYou've already chosen the best response.1how did you get 2 from

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1The common factor is \(\large 5m^2n\) The 2 is the exponent of the m.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1\(\large 10m^3n^215m^2n^1\) Now we factor out the GCF: \(\large =5m^2n(~~~~~~~~~~~~~~)\)

baby456
 one year ago
Best ResponseYou've already chosen the best response.1how? i dont know i am so confused

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1\(\large =5m^2n(2mn  3)\)

baby456
 one year ago
Best ResponseYou've already chosen the best response.1where are you getting the 2 and 3

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1The 2 and the 3 are the numbers you need so that when you multiply by the 5 outside you get back the 10 and 15 you started with.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Factoring is the opposite of the distributive property.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Let me go back a few steps and show a simple example. Do you know the distributive property?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Use the distributive property to simplify this expression: \(2(3 + 5)\)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1No. I'll show you. The distributive property of multiplication over addition is this: \(2(3 + 5) = 2 \times 3 + 2 \times 5\)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1435095136526:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1The distributive property shows you that you multiply the number outside parentheses by each of the numbers inside the parentheses. The you add the products.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Here is another example: dw:1435095244847:dw

baby456
 one year ago
Best ResponseYou've already chosen the best response.1but how does that help with factoring.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Factoring is doing the distributive property in reverse.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Here is an example of the distributive property using variables. dw:1435095365764:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1We went from a product of a variable, m, and a binomial, 2m + n, to a result, \(2m^2 + mn\)

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now let's do that problem in reverse. Let's say we are given the final answer above, and we are asked to factor.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1This is the problem we have now: dw:1435095505073:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1First, we find the greatest common factor of the two terms.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1435095568553:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now we take the problem, and we do the distributive property in reverse.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1We need to find what to place inside the parentheses to get back to our original problem. dw:1435095632204:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1435095685363:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1435095737610:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1435095761968:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1dw:1435095800516:dw

baby456
 one year ago
Best ResponseYou've already chosen the best response.1i dont get it. it like my brain is stuck.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1This is the answer: dw:1435095820650:dw