Algebraic Expressions and Polynomials

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Questions and Answers

What is an algebraic expression?

  • A type of linear function.
  • A number that represents a quantity.
  • An equation with equal sides.
  • A mathematical phrase involving at least one variable and sometimes numbers and operation symbols. (correct)

What is the term in algebra?

The number part of the term.

What does a variable represent in algebra?

The letter part of the term.

What is an exponent?

<p>The small number to the right of the variable.</p> Signup and view all the answers

What are like terms?

<p>Terms that have the same variable and exponents.</p> Signup and view all the answers

What does it mean to simplify an expression?

<p>To simplify an expression you add the like terms in the expression.</p> Signup and view all the answers

What is a polynomial?

<p>An algebraic expression that has one or more terms.</p> Signup and view all the answers

How do you add polynomials?

<p>You regroup and add like terms.</p> Signup and view all the answers

How do you subtract polynomials?

<p>Change the signs of all terms in the second polynomial and then add.</p> Signup and view all the answers

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Study Notes

Algebraic Expressions and Terms

  • An algebraic expression involves at least one variable, numbers, and operation symbols, forming a mathematical phrase.
  • A term refers to either a single number or a variable with an exponent.
  • The variable denotes the letter that represents an unknown value within a term.
  • The exponent is a small number next to the variable indicating the power to which the variable is raised.

Like and Unlike Terms

  • Like terms are defined as terms that share the same variable and have identical exponents.
  • Simplifying an expression requires combining like terms, which means you can only add or subtract terms that are alike.

Polynomials

  • A polynomial consists of one or more terms combined through addition or subtraction, forming a specific type of algebraic expression.

Operations with Polynomials

  • When adding polynomials, the process involves regrouping and summing like terms to form a combined expression.
  • For subtracting polynomials, the first step is to change the signs of all terms within the second polynomial, followed by adding the adjusted terms to the first polynomial.

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