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What is a common factor of the trinomials 2x2- x- 28 and 2x2 - 15x 28?
If that's +28, the answer is (x - 4)
What are the steps of factoring by removing gcf?
Divide the numerator by the GCF.Divide the denominator by the GCF.Done.
When factoring out the GCF do variables get factored out as well as coefficients?
Yes, if they are in common for all the terms.
What is different about factoring with a common factor and factoring by the greatest common factor?
When you divide 2 or more numbers by a common factor which is not the greatest common factor, they will still have a common factor which is greater than 1. When you divide them by their greatest common factor, the quotients are coprime - that is, they no longer have a factor in common other than 1.
What is the LCM of two numbers if their GCF is 5 and their product is 1296?
As a general principle, you can find the LCM of two numbers by dividing their product by their GCF. This one won't work. The product of any two numbers with 5 as a common factor would have to end in 5 or 0.
Can you factor the gcf after factoring out the trinomials?
If you've factored out the trinomials and want to find the greatest common factor (GCF) of the remaining terms, you can look for common factors among the coefficients and variables in each term. Let's say you have factored the trinomial � � 2 � � � ax 2 +bx+c into the form � ( � − � ) ( � − � ) a(x−r)(x−s), where � r and � s are the roots or solutions of the trinomial. Now, let's consider the factored form of the trinomial along with any additional terms you have: � ( � − � ) ( � − � ) additional terms a(x−r)(x−s)+additional terms To find the GCF, you'll look for common factors in the coefficients and variables. The GCF will be the product of the common factors. For example, if the remaining terms are 2 � − 4 2x−4, you can factor a 2 from both terms: 2 ( � − � ) ( � − � ) 2 ( � − 2 ) 2(x−r)(x−s)+2(x−2) Now, the GCF is 2 2 because it is the common factor in both terms. If you have specific trinomials or terms you'd like help factoring, feel free to provide them, and I can guide you through the process
What is the meaning of GCF of monomial?
gcf is Greatest Common Factor. It means what is the largest value that can go into what you are factoring.
When do you stop factoring by Greate st Common Factor?
When the GCF is 1.
What is the GCF of 75 and 25 using group factoring method?
25
What is a common factor of the trinomials 2x2- x- 28 and 2x2 - 15x 28?
If that's +28, the answer is (x - 4)
Why does it make sense to factor out the GCF first before using other methods of factoring?
The answer depends mainly on what you are trying to do. But factoring out the GCF is usually a good idea since it reduces the size of the numbers tat you are dealing with.
What are the steps of factoring by removing gcf?
Divide the numerator by the GCF.Divide the denominator by the GCF.Done.
When factoring out the GCF do variables get factored out as well as coefficients?
Yes, if they are in common for all the terms.
What are the methods for factoring?
gcf difference of two squares guess ad check/ box method
What is the GFC for27 and 72?
GCF factoring 27=3*3*3 72=3*3*8 GCF=3*3=9
What is the GCF of 30 and 65?
The gcd or gcf is 5. We could find this by factoring. Another way is to list the factors and then find the biggest common one.
When would you apply gcf instead of lcm?
GCF is used for factoring terms, possibly in solving equations. LCM is used to find a common denominator when adding or subtracting fractions.
