Algebra II : Intermediate Single-Variable Algebra
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Example Questions
Example Question #41 : Simplifying Polynomials
Simplify:
To simplify, first remember to distribute the negative sign in front of the second set of terms:
Then, combine like terms.
Your answer is:
Example Question #42 : Simplifying Polynomials
Simplify:
To simplify this expression, first identify the greatest common factor for this set of terms.
In this case, it's 4.
Then, factor 4 out of each of the terms to get your answer of:
Example Question #43 : Simplifying Polynomials
Simplify:
In order to multiply both terms, first distribute the first term of the first polynomial with the the second polynomial.
Repeat the process for the second and third terms.
Add all the trinomials together and combine like-terms.
The answer is:
Example Question #43 : Simplifying Polynomials
Simplify:
To simplify this expression, combine all like terms:
Put your simplified terms together:
Example Question #43 : Simplifying Polynomials
Simplify:
The first step here is to use the distributive property:
Now combine your like terms to get your final answer:
Example Question #46 : Polynomials
Simplify the polynomial.
Simplify the polynomial.
Step 1: Rearrange the expression so that like terms are next to each other.
Remember: Like terms are terms with the same type of variable.
Step 2: Simplify by adding or subtracting like terms.
Solution:
Example Question #44 : Simplifying Polynomials
Simplify this polynomial:
None of the other answers.
In order to correctly simplify this problem you must pay attention to which terms are actually considered "like terms" and pay attention to signs. For instance 6x and 6x^2 are not like terms. Neither are 3 and 3x.
Start by distributing within the parenthesis:
Next simplify the like terms based on your preference. We will start with the highest powers (largest exponents):
Now the squared exponents:
Now the x terms cancel and simplify the constants:
Example Question #2 : Factoring Polynomials
Find the zeros.
This is a difference of perfect cubes so it factors to 
Example Question #2 : Factoring Polynomials
Find the zeros.
Factor the equation to 
Example Question #1 : Factoring Polynomials
Factor the polynomial:
First, begin by factoring out a common term, in this case 
Then, factor the terms in parentheses by finding two integers that sum to 
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