help :c
writing essays in math (.-.) i need help knowing how to explain Descartes rule and the fundamental theorem of algebra... yay -.-
yay hero c:
Sounds like a project. The best course of action here is to look for online content such as youtube videos and educational websites. Take useful information from those sources, put your own unique twist on it, and present it. If I were you I would first pretend I had a friend in another class who didn't understand it but wanted to and they asked you to write them a letter explaining it. Like pretend that you need to explain such concepts in a letter to a friend. If you already know how to do it, you should already know how to explain "something" on your own without using any resources. Once you've exhausted that approach, then you can consult other resources to refine your essay even more and make it sound more professional.
i already have exauhsted resources brotaco but all of the websites ive checked just tell you about the definition of both terms :c
So this resource only gives you a definition? http://www.purplemath.com/modules/drofsign.htm
Should I keep going?
That's less than five minutes where I have found presentation worthy material.
.-. this is what i have so far.... You can use Descartes' rule of signs to find the maximum number of positive and negative real zeros of a polynomial. Descartes' rule states that the number of the positive roots will be equal to the number of sign changes in the equation. The number of positive roots could also be less than the amount of times the sign changes by a multiple of 2. Descartes' rule of signs is helpful when you are trying to pick out the actual zeros out of the endless list that something such as the rational roots test would give you. In other words it helps to narrow down the choices of possible zeros. While Descartes' rule only gives you the number of real zeros, the fundamental theorem of algebra allows you to find the number of both real and complex zeros. The Fundamental Theorem of Algebra basiclly explains that polynomials with a degree higher than 1 will have a complex solution. It also explains that a polynomial with the degree of n will have n roots. One way to find zeros it to use Descartes' rule to find the number of real zeros and then subtract it from the number of total zeros you found by using the fundamental theorem of algebra. THE PART BELOW ISNT MINE.... lol yeah its just more information that alot of numbers i dont understand .-. The quadratic x2-1=0 has degree 2. How many real roots does it have? It has tworeal roots. We can find them by factoring the left-hand side; we find (x+1)(x-1)=0. So by the Zero Product Property, either x+1=0 or x-1=0, so either x=-1 or x=1. These are the two real roots. The quadratic x2=0 has degree 2. How many real roots does it have? It actually has only one real root, although this root is "repeated." The root is obvious: x=0. The quadratic x2+1=0 has degree 2. How many real roots does it have? It has noreal roots! You can see why in two ways, either algebraic or geometric. Algebraically, if x2+1=0, then x2=-1, but it's not possible to square a real number and get a negative number, so there can be no real solutions. Geometrically, the graph of f(x)=x2+1 lies entirely above the x axis, so it has no x intercepts and therefore has no roots.
If I were you, I would make up a quadratic or cubic trinomial first and start with a hypothetical situation. For example, this is how I would begin: Suppose you were given cubic polynomial of the form y = ax^3 + bx^2 + cx + d and were tasked with finding its maximum number of positive and negative zeroes. What method would you use to determine such values. Does such a method exist. In fact, it does. A man named Rene Decartes came up with a rule we now use today known as the Decartes Rule of Signs. The rule states that....
Just one method of approach you could take.
I'd take that same approach with Fundamental Theorem of Algebra with the intent in both cases to explain what they mean and how to use them through demonstration.
.-. no..... is there anyway i can make the tiny paragraph uptop bigger by using more smart peoples math terms? XD as in expanding the sentences?
Like, in your essay, simply demonstrate how to apply these rules or theorems to a given quadratic or cubic to gain the intended information from them.
Now see, that's the thing. If you focus too much on "using big words" you'll miss out on the real genius behind demonstrating the knowledge which, in truth, is to explain difficult concepts in a way that a kid could understand it. Believe it or not, as silly as that may sound, if you could explain it in a way a kid would understand it, you will have successfully done what is truly intended with any essay of this kind. I recommend doing that first. AFTER completion, you can then go back and replace some of the small words with big ones.
ive almost completed my entire year of math without knowing either of theres rules and theorems. on those questions i just guess and i have an 89 but im not allowed to take my test till i finish a few writing prompts. :p i love writing i just cant write math. honestly i hate this class thats why im taking ap stats instead of ap calc next year.so i just need a few big word or other term that i could use in order to finish this lesson :c
There are plenty of big words you can use. They are not hard to find. Just find mathematics dictionary or traditional dictionary. Look around the internet. But I assure you that my initial advice would be the best advice to take. I can't really help you with this the way you want me to. Some things, you must do on your own. I can assist you to a certain extent. I apologize.
well is my first paragaph at least right as in like the formulas, uses, and stuffs?
Send it to Satellite and have him proofread it for you.
okay c:
Satellite or Jim Thompson.
wait hero how would i go about using an example? .-.
because i dont even really get this .-. like especially not the stuff underneath my paragraph
@hero :c
Have you watched some of the youtube videos I sent you yet?
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