Algebra 1 : Polynomial Operations
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Example Questions
Example Question #36 : How To Add Polynomials
Simplify the following:
To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):
Example Question #182 : Polynomials
Simplify the following:
To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):
Example Question #183 : Polynomials
Simplify the following:
To solve this problem, first distribute anything through parentheses that needs to be distributed, then combine all terms with like variables (i.e. same variable, same exponent):
Example Question #41 : How To Add Polynomials
Given 
When adding the two polynomial functions together, it is important to only add the terms with the same base (
Following this rule, we get
Example Question #42 : How To Add Polynomials
Add the polynomials 
Set up an expression to add the polynomials. Use parentheses to separate both polynomials.
Combine like terms.
The answer is:
Example Question #41 : How To Add Polynomials
Add the following polynomials:
We must begin by combining like terms. Remember that like terms are those that contain the same variables, raised to the same power. This leads us to the following operations:
When we add and subtract accordingly, we are left with:
Example Question #21 : Simplifying Polynomials
Simplify the following expressions by combining like terms:
Distribute the negative sign through all terms in the parentheses:
Add the second half of the expression, 
Example Question #184 : Polynomials
Simplify the following expression.
None of the other answers.
Place like terms (with the same variable and exponent) together.
Add the like terms.
Example Question #42 : How To Add Polynomials
Add 
None of the other answers.
Add 
Group like terms (with the same variable and exponent). Line up the polynomials in columns to make grouping the terms from several polynomials easier. Then add down.
Example Question #1 : How To Find The Degree Of A Polynomial
Give the degree of the polynomial.
The degree of an individual term of a polynomial is the exponent of its variable; the exponents of the terms of this polynomial are, in order, 5, 4, 2, and 7.
The degree of the polynomial is the highest degree of any of the terms; in this case, it is 7.
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