Podcast
Questions and Answers
What is a trinomial?
What is a trinomial?
- A polynomial with one term
- A polynomial with four terms
- A polynomial with three terms (correct)
- A polynomial with two terms
What is a binomial?
What is a binomial?
- A polynomial with four terms
- A polynomial with two terms (correct)
- A polynomial with three terms
- A polynomial with one term
What does it mean to factor in algebra?
What does it mean to factor in algebra?
Using the X to simplify the polynomial
What are factors in the context of polynomials?
What are factors in the context of polynomials?
Match the perfect square trinomial forms:
Match the perfect square trinomial forms:
What is the difference of two squares?
What is the difference of two squares?
What is an algebraic expression?
What is an algebraic expression?
What is a rational exponent?
What is a rational exponent?
What is an integral exponent?
What is an integral exponent?
What happens when you have a power to a power?
What happens when you have a power to a power?
What is the product of powers property?
What is the product of powers property?
What is the power of zero property?
What is the power of zero property?
What is the power of one property?
What is the power of one property?
What does dividing with exponents involve?
What does dividing with exponents involve?
Study Notes
Key Terms in Algebraic Expressions
- Trinomial: A polynomial composed of three distinct terms.
- Binomial: A polynomial made up of two terms.
- Factor: The method of simplifying a polynomial using the X-Factor approach.
- Factors: Outcomes obtained through the application of the X-Factor method.
Special Types of Polynomials
- Perfect Square Trinomial: A trinomial that adheres to the format a² + 2ab + b² or a² - 2ab + b², representing a squared binomial.
- Difference of Two Squares: A formula expressed as a² - b² = (a + b)(a - b), showcasing the relationship between the difference and the product of two squared terms.
Expression Characteristics
- Algebraic Expression: A combination of numbers, variables, and operation symbols, including at least one variable, forming a mathematical phrase.
- Rational Exponent: Refers to exponents that are expressed as fractions.
- Integral Exponent: Encompasses whole numbers as exponents, including negative and positive integers such as -5, -2, 3, and 6.
Exponential Rules
- Power to a Power: Involves multiplying the exponents while keeping the base unchanged.
- Product of Powers: When multiplying terms with the same base, multiply their coefficients and add the exponents.
- Power of Zero: Establishes that any non-zero base raised to the exponent of 0 equals 1.
- Power of One: States that any base raised to the first power remains unchanged.
Division of Exponents
- Dividing with Exponents: Involves retaining the base and deducting the exponents in the process of division.
Studying That Suits You
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Description
Test your knowledge of algebraic expressions with these flashcards focusing on key terms such as trinomials and binomials. Each card provides a definition to enhance your understanding of polynomial simplification techniques. Perfect for students looking to reinforce their algebra skills.
