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Earn +20 ptsQ: Can the GCF principle of factoring be applied to trinomials?
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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.
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