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 Study Questions with Answers
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PRECALCULUS Study Questions with Answers 
 
Rational Number - Answer--any number that is a real number that can be written ass a terminating or repeating decimal 
 
Irrational Number - Answer--real number that cannot be written as a terminating or repeating decimal (square root of 5) 
 
Quadratic Formula - Answer--b±[√b²-4ac]/2a 
 
Factoring Cubes - Answer-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 - Answer--for quadratic expression, the d...
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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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UC DAVIS ; MATH PLACEMENT WITH COMPLETE SOLUTIONS 100% 2023/2024 latest update
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UC DAVIS ; MATH PLACEMENT WITH COMPLETE SOLUTIONS 100% 2023/2024 latest update 
properties of exponents 
- whole number exponents: b^n = b • b • b... (n times) 
- zero exponent: b^0 = 1; b ≠ 0 
- negative exponents: b^-n = 1/(b^n); b ≠ 0 
- rational exponents (nth root): ^n√(b) = 1/(b^n); n ≠ 0, and if n is even, then b ≥ 0 
- rational exponents: ^n√(b^m) = ^n√(b)^m = (b^(1/n))^m = b^(m/n); n ≠ 0, and if n is even, then b ≥ 0 
 
 
operations with exponents 
- multiplying li...
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UC DAVIS ; MATH PLACEMENT WITH COMPLETE SOLUTIONS LATEST VERSION] UPDATED | 2024
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UC DAVIS ; MATH PLACEMENT WITH COMPLETE SOLUTIONS LATEST VERSION] UPDATED | 2024 
 
 
 
 
 
 
properties of exponents	- whole number exponents: b^n = b • b • b... (n times) 
- zero exponent: b^0 = 1; b ≠ 0 
- negative exponents: b^-n = 1/(b^n); b ≠ 0 
- rational exponents (nth root): ^n√(b) = 1/(b^n); n ≠ 0, and if n is even, then b ≥ 0 
- rational exponents: ^n√(b^m) = ^n√(b)^m = (b^(1/n))^m = b^(m/n); n ≠ 0, and if n is even, then b ≥ 0 
operations with exponents	- multi...
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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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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
- Exam (elaborations) • 4 pages • 2023
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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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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
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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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