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Advanced Algebra and Trigonometry: Skill 5: Radicals
n
x
n is called the index numbers
x is called the radicand
When simplifying radicals, nd groups of the index after completing a factor tree.
For each group, take one of the number
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Advanced Algebra and Trigonometry: Section P.2: Simplifying Radicals in Exponential Form
One Expression: Whatever form the problem starts in, the problem should end in that form. 1. ( -32 ) 5 !
- 4
!
!
!
!
!
2.
9
a3
3.
3
125
Multipl
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Advanced Algebra and Trigonometry: Section P.3
Introduction to Polynomials
Naming and Ordering Polynomials:
A polynomial is the sum (or difference) of monomials.
Some polynomials have special names.
A monomial is a number, variab
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Advanced Algebra and Trigonometry: Section P.3: Multiplying Polynomials
Multiplying Binomials: 1. ( 3x - 2 ) ( -4x - 7 ) ! ! ! !
1 x 1 x 2. - - 4 2 6 2
Special Products: Sum and Difference of Same Terms: ( x - y ) ( x + y ) = x 2 -
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Advanced Algebra and Trigonometry: Skills 1: Multiplication of Variables with Exponents
Adding and Subtracting Integers: Same sign: add the numbers and keep the sign. Opposite Signs: subtract the larger from the smaller and keep the
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Advanced Algebra and Trigonometry: Skill 2: Powers of Exponents
Multiplication and Division of Integers: Two positives = positive Two negatives = positive One positive and one negative = negative 1. -9(7) ! ! ! ! ! 2. -14(-3)
3. 12(
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Advanced Algebra and Trigonometry: Skill 4: Fractions and Exponent Rules Multiplication and Division: Multiplication: simplify diagonally and the multiply across Division: Keep the first fraction, change to multiplication and flip t
Advanced Algebra and Trigonometry: Section P.2 Converting Radicals in Exponential Form
n
a =a
m
m n
a = n am
m n
Changing from Radical to Exponential Form: 1.
3 !
!
!
!
2.
(3x)5 !
!
!
!
3.
4
xy 3
4. 2x 5 x 3 !
!
!
!
Changing from Exponential to Radical Fo