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How can you determine if a general quadratic trinomial is factorable?
NorlyBelista
If the quadratic is written in the form ax2 + bx + c (where a not 0)
then for it to be factorable, b2 - 4ac (the discriminant) must be a perfect square.
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∙ 12y ago
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What is a general quadratic trinomial?
keme keme lang yan kaya mo yan in English that is so easy you can do it loser
Who found the quadratic formula?
It comes from completing the square of a general quadratic. Many people believe Brahmagupta first solved this in 628 AD.
Where quadratic equation is applicable?
A quadratic equation in its general form of ax2+bx+c = 0 whereas 'a' is equal or greater than 1 is applicable when finding the unknown variable of x by using the quadratic equation formula.
When factoring a trinomial that is in the format ax2 plus bx c the number that is represented by B should be viewed as the?
The general form of a quadratic expression is given as ax2+bx+c where "a" cannot equal zero and "b" is the coefficient of the variable "x" and also the sum of the factors of "c" when "a" is unity. Example: x2+5x+6 = (x+2)(x+3) when factored
How many existing methods are there in solving quadratic equations?
There are 5 existing methods in solving quadratic equations. For the first 4 methods (quadratic formula, factoring, graphing, completing the square) you can easily find them in algebra books. I would like to explain here the new one, the Diagonal Sum Method, recently presented in book titled:"New methods for solving quadratic equations and inequalities" (Trafford 2009). It directly gives the 2 roots in the form of 2 fractions, without having to factor the equation. The innovative concept of the method is finding 2 fractions knowing their Sum (-b/a) and their Product (c/a). It is very fast, convenient and is applicable whenever the given quadratic equation is factorable. In general, it is hard to tell in advance if a given quadratic equation can be factored. However, if this new method fails to find the answer, then we can conclude that the equation can not be factored, and consequently, the quadratic formula must be used. This new method can replace the trial-and-error factoring method since it is faster, more convenient, with fewer permutations and fewer trials.
What is a general quadratic trinomial?
keme keme lang yan kaya mo yan in English that is so easy you can do it loser
What is difference between monic quadratic trinomials and general quadratic trinomials?
the difference between the two is that in quadratic u find the factors of the last term that when u add/subtract u get the answer of the middle term. while the general quadratic trinomial u find the factors of both first term and last term and proceed to trial and error. Welcome -Delin-shaw Guillermo
What are the steps to solving a quadratic equation?
In general, there are two steps in solving a given quadratic equation in standard form ax^2 + bx + c = 0. If a = 1, the process is much simpler. The first step is making sure that the equation can be factored? How? In general, it is hard to know in advance if a quadratic equation is factorable. I suggest that you use first the new Diagonal Sum Method to solve the equation. It is fast and convenient and can directly give the 2 roots in the form of 2 fractions. without having to factor the equation. If this method fails, then you can conclude that the equation is not factorable, and consequently, the quadratic formula must be used. See book titled:" New methods for solving quadratic equations and inequalities" (Trafford Publishing 2009) The second step is solving the equation by the quadratic formula. This book also introduces a new improved quadratic formula, that is easier to remember by relating the formula to the x-intercepts with the parabola graph of the quadratic function.
What is general quadratic trinomial?
Secret? baka malaman nyo pa wag nlng kayong mag answere c ma'am ang tanongin nyo cgurado aku alam nya yan
How do you determine wheather a quadratic function has a maximum or minimum and how do you find it?
In theory you can go down the differentiation route but because it is a quadratic, there is a simpler solution. The general form of a quadratic equation is y = ax2 + bx + c If a > 0 then the quadratic has a minimum If a < 0 then the quadratic has a maximum [and if a = 0 it is not a quadratic!] The maximum or minimum is attained when x = -b/2a and you evaluate y = ax2 + bx + c at this value of x to find the maximum or minimum value of the quadratic.
How do you Solve x2-5x-36 equals 0?
x2 - 5x - 36 = 0 (x - 9) (x + 4) = 0 x = 9 and x = -4 This method is called factoring and only works if the equation is a perfect square otherwise you must use the quadratic equation. There are not enough mathematical symbols here to illustrate so you'll have to look it up. But you can determine if the equation is factorable using a part of the quadratic equation called the discriminate, if the discriminate is a perfect square the equation is factorable. b2 - 4ac (discriminate) Where a,b, and c are taken from the general form ax2 + bx + c = 0 a = 1, b = -5, c = -36 If the square root of the discriminate is a whole number 3, 8, 122... the equation is factorable. Notice above that 9 x -4 = -36 the c value and 9 + (- 4) = 5 the b value. Start solving by listing all multiples of -36 and choose the two which when added give you 5.
What is the graph of a quadratic formula?
In general, quadratic equations have graphs that are parabolas. The quadratic formula tells us how to find the roots of a quadratic equations. If those roots are real, they are the x intercepts of the parabola.
What determines whether the graph of the quadratic function will open upward or downward?
The slope of your quadratic equation in general form or standard form.
What is the difference between a linear and quadratic function?
A linear function is a line where a quadratic function is a curve. In general, y=mx+b is linear and y=ax^2+bx+c is quadratic.
What is the general form of a quadratic equation?
ax2 + bx + c = 0
In general how many distinct solutions are there to a quadratic equation?
the maximum number of solutions to a quadratic equation is 2. However, usually there is only 1.
Who found the quadratic formula?
It comes from completing the square of a general quadratic. Many people believe Brahmagupta first solved this in 628 AD.
