Study Guides
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1.
Addition of Polynomials Help
Monomials and Polynomials An algebraic expression consists of variables (letters), constants (numbers), operation signs, and grouping symbols. Also recall that a term of an algebraic expression consists of a ...
Source: McGraw-Hill Professional -
2.
Subtraction of Polynomials Help
Subtraction of Polynomials You learned that whenever you subtract integers in algebra, you add the opposite. For example, –10 – (–6) = –10 + 6 = –4. To find the opposite of an integer (except 0), we change its ...
Source: McGraw-Hill Professional -
3.
Multiplication of a Polynomial by a Monomial Help
Multiplication of a Polynomial by a Monomial When a polynomial is multiplied by a monomial, the distributive property is used. Recall from Chapter 7 that the distributive property states that a(b + c) = a · b + a · c.
Source: McGraw-Hill Professional -
4.
Multiplication of Two Binomials Help
Multiplication of Two Binomials In algebra, there are some special products that you will need to know. The first one is to be able to find the product of two binomials. In order to do this, you can use the distributive law twice.
Source: McGraw-Hill Professional -
5.
Squaring a Binomial Help
Squaring a Binomial Another special product results from squaring a binomial. This can be done by using the two methods shown previously; however, a short-cut rule can be used. It is:
Source: McGraw-Hill Professional -
6.
Multiplication of Two Polynomials Help
Multiplication of Two Polynomials Two polynomials can be multiplied by using the distributive property as many times as needed. It is the same as shown for two binomials. Examples
Source: McGraw-Hill Professional -
7.
Division of Monomials Help
Division of Monomials When one variable is divided by another variable with the same base, the exponent of the variable in the denominator is subtracted from the exponent of the variable in the numerator. For example,
Source: McGraw-Hill Professional -
8.
Division of a Polynomial by a Monomial Help
Division of a Polynomial by a Monomial To divide a polynomial by a monomial, divide each term in the polynomial by the monomial . Examples Example ...
Source: McGraw-Hill Professional -
9.
Operations With Monomials And Polynomials Practice Test
Review the following concepts if needed: Addition of Polynomials Help Subtraction of Polynomials ...
Source: McGraw-Hill Professional -
10.
Multiplication of Monomials Help
Multiplication of Monomials Multiplying Variables with Exponents When two variables with the same base are multiplied, the exponents of the variables are added to get the product. For example,
Source: McGraw-Hill Professional
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