
Concept explainers
Given:
The algebraic expression
Term: A term is a number, variable or the product of a number and variable.
Coefficient: A coefficient is the numeric factor of the given term.
Constant term: A constant term is a term that contains only a number.
Degree of the term: The degree of the term is the sum of the exponents on the variables contained in the term.
Like terms: Like terms are those that have the exact same variables raised to the exact same exponents. When applying algebraic addition or subtraction to a given expression, only like terms can be combined and their coefficients added or subtracted respectively.
Product rule for exponents:
When multiplying terms of an expression, the exponents of like bases are added as follows,
Dividing like bases with exponents follows the quotient rule as follows
Multiplication of polynomials:
When multiplying polynomials, use the distribution property to distribute every term of a polynomial to every term of the other polynomials

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Chapter 5 Solutions
Introductory Algebra for College Students (7th Edition)
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- Find the values of x and y in the following scalar multiplication. 8 2 x 1 3 || y = 9 LY_ Show Calculatorarrow_forwardA professor gives two types of quizzes, objective and recall. He plans to give at least 15 quizzes this quarter. The student preparation time for an objective quiz is 15 minutes and for a recall quiz 30 minutes. The professor would like a student to spend at least 5 hours total (300 minutes) preparing for these quizzes. It takes the professor 1 minute to grade an objective quiz, and 1.5 minutes to grade a recall type quiz. How many of each type of quiz should the professor give in order to minimize his grading time (why still meeting the other requirements outlined)?arrow_forwardTable 15-21 shows the relative frequencies of the scores of a group of students on a philosophy quiz.Table 15-21 Score45678 Relative frequency7%11%19%24%39%arrow_forward
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