Factoring Quadratic Expressions
Subject:
Quadratic Formula= ax^2+bx+c=0
factoring is rewriting an expression as the product of it's factors.
ex: 4x^2+20x-12
[4(x^2+5x-3)]
Quadratic equation
Quadratic Formula
Subject:
Often, the simplest way to solve "ax2 + bx + c = 0" for the value of x is to factor the quadratic, set each factor equal to zero, and then solve each factor. But sometimes the quadratic is too messy, or it doesn't factor at all, or you just don't feel like factoring. While factoring may not always be successful, the Quadratic Formula can always find the solution.
The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients". The Formula is derived from the process of completing the square, and is formally stated as:
For ax2 + bx + c = 0, the value of x is given by:
Algebra Formulas
Subject:
Laws of Exponents
(am)(an) = am+n
(ab)m = ambm
(am)n = amn
a0 = 1
(am)/(an) = am-n
a-m= 1/(am)
Quadratic Formula
In an equation like ax2 + bx + c = 0
You can solve for x using the Quadratic Formula:
Binomial Theorem
(a + b)1 = a + b
(a + b)2 = a2 + 2ab + b2
(a + b)3 = a3 + 3a2b + 3ab2 + b3
(a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4 ...and so on...
Difference of Squares
a2 - b2 = (a - b)(a + b)
Rules of Zero
0/x = 0 where x is not equal to 0.
a0 = 1
0a = 0
a*0 = 0
a/0 is undefined (you can't do it)
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Algebra Help
Subject:
Tags:
Applying the Fundamental Concepts of Algebra An understanding of the fundamental concepts of algebra and of how those fundamental concepts may be applied is necessary in many professional and most technical careers. For engineers and scientists it is an essential requirement. The fundamental concepts of algebra are described in the preceding section of this article. How these concepts may be applied to aid in the solution of various types of mathematical problems is explained here. USING REAL NUMBERS
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