Algebra 1 : Polynomials
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Example Questions
Example Question #1 : How To Add Trinomials
Solve this system of equations for 
First, we want to eliminate the variable 
Then, we combine the two equations by adding them. We add the like terms together and get this equation:
Using our knowledge of algebra, we know we can divide both sides by 7 to isolate the 
Example Question #1 : How To Add Trinomials
To solve this problem, simply add the terms with like exponents and variables:
Thus, 
Example Question #4272 : Algebra 1
Simpify into quadratic form:
The first step is to combine all terms with like exponents and variables. Watch for negative signs!
Next, rearrange into standard quadratic form 
Thus, our answer is 
Example Question #4273 : Algebra 1
Simpify into quadratic form:
Let's solve this problem the long way, to see how it's done. Then we can look at a shortcut.
First, FOIL the binomial combinations:
FOIL stands for the multiplication between the first terms, outer terms, inner terms, and then the last terms.
Lastly, add the compatible terms in our trinomials:
So, our answer is 
Now, let's look at a potentially faster way.
Look at our initial problem.
Notice how 
Simpify the second term:
Now, perform a much easier multiplication:
So, our answer is 
Example Question #41 : Polynomials
Add the trinomials:
Eliminate the parentheses and combine like-terms.
Combine all the terms.
The answer is:
Example Question #41 : Polynomials
Find the sum.
When adding trinomials we combine together coefficients of like terms.
Example Question #42 : Polynomials
Add the following trinomials:
Combine like terms:
Example Question #2 : Solving Equations
Solve this system of equations for 
Multiply the top equation by 3 on both sides, then add the second equation to eliminate the 
Example Question #1 : Simplifying Polynomials
Evaluate the following:
To subtract these two trinomials, you first need to flip the sign on every term in the second trinomial, since it is being subtrated:
Next you can combine like terms. You have two terms with 
Example Question #1 : How To Subtract Trinomials
Subtract:
When subtracting trinomials, first distribute the negative sign to the expression being subtracted, and then remove the parentheses:
Next, identify and group the like terms in order to combine them: 
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