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To factor trinomials, follow these steps:

• Step one: Determine values for \(b\) and \(c\). (trinomial: \(x^2 \ + \ bx \ + c\))
• Step two: Locate 2 two numbers which ADD to \(b\) and MULTIPLY to \(c\). This second step may involve a small amount of trial and error.
• Step three: Utilize the numbers you chose for writing out the factors and check. 

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In math, logarithm problems are solved using the properties of the functions that make up logarithms. In basic math, we learned a lot of properties, like commutative, associative, and distributive, that can be used in algebra. When it comes to logarithmic functions, there are five main things to know.
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The determinant of a matrix is a unique number that is only defined for square matrices (matrices with the same number of rows and columns). A determinant is used in calculus and other algebra-related matrices. It is a real number representing the matrix and can be used to solve a system of linear equations and find the inverse of a matrix.
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Geometric sequences are those in which the following number is obtained by multiplying the previous term by a constant known as the common ratio. The letter \(r\) is used to show the common ratio.
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If you realize that logarithms are just another way to write out exponential equations, it becomes much easier to solve a logarithm. Once you change the logarithm into a form that is easier to understand, you should be able to solve it the same way you would solve an ordinary exponential equation.
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An angle is a type of geometric shape that is made by joining the ends of two rays together. The angle can also be shown by the three letters of the shape that makes the angle. The angle is in the middle letter (i.e.its vertex). Most of the time, Greek letters like \(β \ , \ α \ , \ φ\), etc. are used to show angles.
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Consider: \(log_b \ x \ = \ y\):

• Rewrite the exponential expression "\(x\)" as a power of "\(b\)": \(b^y \ = \ x\)
• Use what you know about powers to figure out what \(y\) is by asking, "To what exponent should \(y\) be raised to get \(x\)?"

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- Mean:\(\frac{\ sum\  \ of\  \ the data\ }{\ of \ data\  \ entires\ }\)
- Mode: value in the list that appears most often
- Range: largest value – the smallest value
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\(a_n \ = \ a_1 \ + \ d \ (n \ – \  1)\)

• \(a_1 =\) The first term
• \(d =\) The common difference between terms
• \(n =\) The term poistion

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Matrix's inverse is another matrix that gives the multiplicative identity when multiplied by the given Matrix. The inverse of a matrix \(A\) is \(A^{-1}\) and \(A.A^{-1} \ = \ A^{-1}.A \ = \ I\) (\(I\) is the identity matrix). An invertible matrix is one whose determinant is not zero and for which the inverse matrix can be calculated.
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