please help
1. 4?, 2. 3, 3. 4 i think thats what you're after?
1. Can you list all the factors of 12? And 16?
Not quite Georgia, but you're close. For GCF, you're trying to find the biggest number that both of terms can be divisible by.
Yes. And what about for 2?
Yes. And remember the x's. they are also part of the GCF
Ok, go back to #1. The GCF is just 4 because 12 and 16x can be divisible by 4 and that's the greatest number they can be divisible by. It cannot be 4x because 12 does not have an x term in it.
Just look at the numbers and the x's separately. What is the greatest factor of the two numbers. Then, how many x's do these two terms share.
Yup. Now your 1. Is wrong. It's suppose to be just 4. You can't put 4x because they don't have an x in COMMON Only 12x has a x, 16 does not. Lets break it up 2. Name all the factors of 18x^2 And 15x^5
No. I have no idea what you're doing with the 2. But I could help you list just the factors of 18. 1,18,2,9,3,6 Does this make sense? If so, can you try to list the factors of 15?
Yes. So 18: 1,2,3,6,9,18 15: 1,3,5,15 Look at this. What's the largest factor they have in common?
YES. And now lets look at the variable. One has x^2 and the other x^5. When finding the greatest common factor of the variable, you want to find the smallest one. So which is smaller, x^2 or x^5
Yes. Correct. So put them together. The GCF for 2. Is 3x^2. Does this make sense now? Can you try to do 3?
No. GcF of 12 and 40. List all the factors of 12. Then 40. And do the same thing, find the largest factor they have in common
Yes. Now lets look at the variables. Lets start with a. One has a^5 and the other has a^5. Which is smaller?
Yes. They're the same, so a^5 Now lets look at the b. One is b and the other is b^5. Which is smaller
Ok. Now put them all together. What is the GCF of 12a^5b and 40a^5b^5?
No. There are no x in any of the terms. RECAP What did we say the GCF of: A) 12 and40? B) a^5 and a^5? C) b and b^5?
No. That's just partA. What about B and C
Yes. Now put A,B,C together to make a term
Correct. That is your GCF
Thanks so much for helping!
No problem
Join our real-time social learning platform and learn together with your friends!