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Impossible to understand factoring polynomials. : r/learnmath - Reddit
There are a few different approaches to factoring polynomials. The most basic version starts with looking at what happens if you expand out a factored expression and try to match things up. Let's look at x 2 +5x+6. Assume that we can factor it as (x+r)(x+s) for some values r and s. Expanding out, we get (x+r)(x+s)=x 2 +(r+s)x+rs. So if we could ...
Why is factoring polynomials so hard? : r/mathematics - Reddit
That's a hard question. Factoring quadratic polynomials, at least, is really easy. Just use the quadratic formula. Factoring cubic polynomials is much more involved; factoring quartic polynomials is pretty much as complicated as cubic polynomials, and factoring polynomials of higher powers is actually impossible, mathematically. At least this ...
Anyone else think there's way to much emphasis on factoring polynomials ...
Edit: also factoring (easy, small degree polynomials) is fast, and we want them to eventually understand the fundamental theorem of algebra. The basic tricks for quadratics are also useful in higher order polynomials which we do want to get them working with eventually, in whatever capacity is possible for them.
[Algebra 2] Factoring polynomials, I don't get it at all
Factoring a polynomial into irreducibles allows you to explain it's behavior. For polynomials, this mostly amounts to knowing where the roots are (where the polynomial is equal to zero) and what the multiplicities of those zeroes are. Factoring is hard to motivate at the high school level, but is central to almost all of higher mathematics.
Intuition behind factoring polynomials? : r/learnmath - Reddit
Factoring polynomials is similar to factorization of integers into primes. If you want to solve p(x) = 0, then factoring is a good strategy because for real numbers, ab = 0 implies a = 0 or b = 0. So if you can reduce an expression to some factors for which it is easy to check when they are 0, then the problem is solved.
How can I understand factoring polynomials more? : r/learnmath - Reddit
f(x) = 2x 3 – 25x 2 + 53x – 30 . For a third degree polynomial, we are looking for three zeros and therefore three factors, but remember that some could be duplicates.
Is there a list to go through when factoring polynomials? : r/math - Reddit
There is a general (if highly inefficient) algorithm for factoring 1-variable polynomials (with integer coefficients) over the integer ring. The rough idea is that if you want to factor a polynomial f(x) as g(x) h(x), then g(m) has to divide f(m) for each integer m.
Serious issues understanding how to factor polynomials.
It is important for me in order to become a computer scientist. Mainly the issue I'm running into is how to handle the steps into factoring the polynomials. For example: 4m^2 - 4m - 8 This is a trinomial with leading coefficient of 4. The instructor expects me to reduce it to a binomial by factoring it like this: 4(m - 6)(m+2)
When are students introduced to factoring polynomials in your ... - Reddit
Introduced? Alg 1. However, IMO, students don’t get enough context for what factoring is for. I teach PreCalc now, and students have trouble making the connection with factoring as a means of solving, simplifying, changing between forms for graphing, when to use the quadratic formula, etc.
How do I use a TI-84 Plus CE for factoring? : r/TI_Calculators - Reddit
3.9K subscribers in the TI_Calculators community. A place to post programs, questions, requests, news, and other stuff for Texas Instruments…
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