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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
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How do you check your answer when factoring trinomials?
plug some numbers in for your variable and see if the factored answers match the pre-factored answer
When you are factoring after you find the gcf what do you do next?
3X + 9 3 is greatest common factor here, so factor it out 3(X + 3) ====== That is what you do next, though this is a simplified example.
How do you Factor the trinomials of 12x2-32x-12?
12x ^2 -32x-12
What is the GCF of 75 and 25 using group factoring method?
25
What is the greatest common factor of 16 24 and 30?
The GCF of 16, 24, and 30 is 2. After factoring out 2 from 16, 24 and 30, you get 8, 12, and 15. Although a factor of 2 can further break down 8 and 12, 15 cannot be divided by 2. Similarly with other factors. Therefore, the greatest common factor of 16, 24, and 30 is 2.
Can the GCF principle of factoring be applied to trinomials?
Yes, it can.
What are the kinds of factor?
factoring whole numbers,factoring out the greatest common factor,factoring trinomials,factoring the difference of two squares,factoring the sum or difference of two cubes,factoring by grouping.
When do you stop factoring by Greate st Common Factor?
When the GCF is 1.
What is the main purpose in factoring trinomials?
the main purpose of this is to dance randomly
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.
Factoring trinomials x2 4x - 32?
(x+8)(x-4)
Factoring trinomials x2 2x-15?
(x+5)(x-3)
What is a common factor of the trinomials 2x2- x- 28 and 2x2 - 15x 28?
If that's +28, the answer is (x - 4)
Is it possible to apply the procedures in factoring quadratic trinomials to factoring the difference of two terms?
Yes, simply treat the middle coefficient as 0.
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.
Factoring trinomials y2 plus 9y plus 18 equals?
(y + 6)(y + 3)
How does factoring quatratic trinomials facilitate solving real life problems?
Try certain physics problems in kinematics without the factoring skill picked up in algebra.
