Podcast
Questions and Answers
What is the first step in simplifying the expression (3x + 2x^2 - 4x) + 3x^2 - 5x?
What is the first step in simplifying the expression (3x + 2x^2 - 4x) + 3x^2 - 5x?
- Determining the Degree of the Polynomial
- Finding the Degree of Each Monomial
- Combining Like Terms (correct)
- Writing in Standard Form
After simplifying (3x + 2x^2 - 4x) + 3x^2 - 5x, what should be done next to fully simplify the expression?
After simplifying (3x + 2x^2 - 4x) + 3x^2 - 5x, what should be done next to fully simplify the expression?
- Write in Standard Form (correct)
- Determine the leading coefficient
- Factor the expression
- Combine the coefficients
What is the degree of the monomial $8xyz$?
What is the degree of the monomial $8xyz$?
- 3 (correct)
- 1
- 0
- 8
What is the degree of the monomial $8x^{2+5}$?
What is the degree of the monomial $8x^{2+5}$?
After fully simplifying an algebraic expression, if the expression has exactly two terms, what is it called?
After fully simplifying an algebraic expression, if the expression has exactly two terms, what is it called?
Flashcards
Combine Like Terms
Combine Like Terms
Combining terms with the same variable and exponent.
Standard Form (Polynomial)
Standard Form (Polynomial)
Arranging a polynomial with terms in descending order by their degree.
Degree of a Monomial
Degree of a Monomial
The highest exponent of a variable in a term.
Name Polynomial by Terms
Name Polynomial by Terms
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FOIL Method
FOIL Method
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Study Notes
- Topic 6 - Quiz
Simplifying Expressions
- Combine like terms in the expression: (3x - 4x - 5x) + (2x² + 3x²)
- Simplified expression: 5x² - 6x
Standard Form
- The simplified expression in standard form is: 5x² - 6x
Degree of Expressions
- Degree of each monomial:
- D1 = 2
- D2 = 1
Degree of Monomial
- The degree of the monomial 8xyz is 14 (7 + 2 + 5)
Polynomial Names
- The polynomial in simplified expression based on number of terms is a binomial
Sum of Expressions
- Add (-2x² + 3x + 4) and (3x² + 4x + 6):
- x² + 7x + 2
FOIL Method
- Multiply the binomials (2x + 4) and (4x - 7) using the FOIL method to get 8x² + 2x - 28
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Description
Combining like terms, expressing in standard form, and determining the degree of polynomial expressions. Includes addition and multiplication using the FOIL method. Covers binomials and monomials.
