Which method is the most efficient for factoring polynomials?

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The most efficient methods for factoring polynomials, particularly quadratics, include using the Quadratic Formula, completing the square, and traditional factoring techniques. The Quadratic Formula is often favored for its reliability in finding roots quickly, while completing the square can provide deeper insights into the polynomial's structure. Traditional factoring is effective when the polynomial can be easily broken down into simpler binomials. The choice of method may depend on the specific polynomial and the solver's familiarity with each technique. Ultimately, selecting the right method enhances efficiency in polynomial factoring.
gillgill
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What is the fastest and easiest way to factor these?

ex. 3x^2+8x-3
 
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I started by looking for a root.
 
gillgill said:
What is the fastest and easiest way to factor these?

ex. 3x^2+8x-3

Remember, there are 3 usual methods for finding a quadratic root:
1) Quadratic Formula
2) Completing The Square
3) Factoring
 
Thread 'Correct statement about size of wire to produce larger extension'
The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...

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