Factoring cubes Study guides, Class notes & Summaries
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CLEP College Algebra Questions and Answers 100% correct 2023
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CLEP College Algebra Questions and Answers 100% correct 2023 
additive inverse to a 
-a 
 
 
 
multiplicative inverse to a (when a does not =0) 
1/a 
 
 
 
raising expression to a negative exponent 
1/b^n 
 
 
 
multiplying expressions with powers 
x^n + x^m = X^m+n 
 
 
 
raising expressions to powers 
(x^m)^n = x^mn 
 
 
 
diving expressions with powers 
x^m/ x^n = x^m-n 
 
 
 
fractional exponents 
x^1/2 = sq rt. X 
x^m/n = n rt. of x^m 
 
 
 
multiplying radicals 
(sq a)(sq b) = sq ab 
 
 
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Precalculus UPDATED Exam Questions and CORRECT Answers
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Rational Number -any number that is a real number that can be written ass a 
terminating or repeating decimal 
Irrational Number -real number that cannot be written as a terminating or repeating 
decimal (square root of 5) 
Quadratic Formula -b±[√b²-4ac]/2a 
Factoring Cubes a^3+b^3=(a+b) (a^2-ab+b^2) 
-if it is A^3-B^3 then change to (a-b)(a^2+ab+b^2) 
Discriminant -for quadratic expression, the discriminant is b^2-4ac 
-determines tht nature of the roots when the quadratic equation=0...
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College Algebra Midterm Exam questions and answers 100% correct
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College Algebra Midterm Exam questions and answers 100% correct 
distance formula 
d=√(x₂-x₁)² + (y₂-y₁)² 
 
 
 
midpoint formula 
m= (x₁+x₂)/2 , (y₁+y₂)/2 
 
 
 
what is the first step when simplifying rational expressions/polynomials? 
FACTOR FIRST 
 
 
 
once you simplify a rational expression, what is the last step before finishing? 
make sure your answer is completely factored out 
 
 
 
5 questions to ask when factoring 
1. search and rescue (look for GCF, then factor o...
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CLEP College Algebra questions and answers 100% correct
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CLEP College Algebra questions and answers 100% correct 
additive inverse to a 
-a 
 
 
 
multiplicative inverse to a (when a does not =0) 
1/a 
 
 
 
raising expression to a negative exponent 
1/b^n 
 
 
 
multiplying expressions with powers 
x^n + x^m = X^m+n 
 
 
 
raising expressions to powers 
(x^m)^n = x^mn 
 
 
 
diving expressions with powers 
x^m/ x^n = x^m-n 
 
 
 
fractional exponents 
x^1/2 = sq rt. X 
x^m/n = n rt. of x^m 
 
 
 
multiplying radicals 
(sq a)(sq b) = sq ab 
 
 
 
fact...
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Practice Determining Factor Techniques Questions Correctly Solved 2024.
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Practice Determining Factor Techniques Questions Correctly Solved 2024. 
 
 
Check all of the possible first steps in factoring a polynomial with four terms. 
factor out a GCF 
factor the difference of cubes 
factor a sum of cubes 
factor a difference of squares 
factor a perfect-square trinomial 
factor by grouping - CORRECT ANSWER A and F 
 
A polynomial has two terms. Check all of the factoring methods that should be considered. 
common factor 
difference of cubes 
sum of cubes 
difference of...
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PECT PreK-4 Module 3 Exam Practice With Complete Solution | 2023-2024 (Graded A+)
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A teacher is having a conversation with their students. They are doing circle, square, 
circle, square. What is the teacher emphasizing? - ANSWER-Algebra (a pattern) 
A teacher asks who is standing next to you, who is standing beside you. What is the 
teacher working on? - ANSWER-Geometry (things related to one another in space) 
Data and Statistics - ANSWER--Students graph the olives based on whether they liked 
it or not with the green or red smiley face. 
-Can also be ice cream and clothing 
...
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Polynomials (Algebra) - Detailed Notes - Grade 12 Mathematics
- Summary • 15 pages • 2023
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This document contains detailed in-depth notes about polynomials (algebra) for grade 12 mathematics. 
The following topics are dealt with: 
1.1 Important Definitions and Notes for Polynomials 
1.2 Factoring Method 1: Sum and Difference of Two Cubes 
1.3 Factoring Method 2: Grouping 
1.4 Division of Polynomials Definition 
1.5 Factoring Method 3: Long Division 
1.6 The Remainder Theorem 
1.7 The Factor Theorem 
1.8 Factoring Method 4: Using the Factor Theorem 
Alongside each of the topics list...
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Test Bank for Basic Technical Mathematics with Calculus, 12th edition by Allyn J. Washington
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Test Bank for Basic Technical Mathematics with Calculus, 12e 12th edition by Allyn J. Washington, Richard Evans. 
 
Full Chapters test bank included - Answers are given at the end of every chapter. 
 
Basic Algebraic Operations 
1.1 Numbers 
1.2 Fundamental Operations of Algebra1.3 Calculators and Approximate Numbers 
1.4 Exponents and Unit Conversions 
1.5 Scientific Notation 
1.6 Roots and Radicals 
1.7 Addition and Subtraction of Algebraic Expressions 
1.8 Multiplication of Algebraic Expressi...
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Understanding Polynomials
- Class notes • 8 pages • 2023
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In this document you can find organized and a thorough explanation of polynomials and factoring polynomials. In the notes I go over cubes, the FOIL method, adding and subtracting polynomials, multiplying and dividing polynomials, binomials, trinomials, and more. I have example problems worked out step my step, definitions, and important information highlighted for you.
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Exam (elaborations) maths110
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Perfect Square of 
Factoring Standard Polynomial - Answers-Factor the trinomial into 2 binomial factors of the form 
 (x+a)(x+b) 
Look for 2 integers whose rmula - Answers-x² + 2ax + a² = (x+a)² 
x² - 2ax + a² = (x-a)² 
where a = √third term 
x = √first term 
 
Difference of 2 cubes - Answers-x³ - a³ = (x-a) (x² + ax + a²) 
 
Sum of 2 cubes - Answers-x³ + a³ + (x+a) (x² - ax + a²) 
product is the last term and whose sum is the second term Exam (elaborations) maths110
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