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Questions and Answers
What is the degree of a polynomial?
What is the degree of a polynomial?
- The coefficient of the term with the highest exponent
- The sum of all the exponents of the variables in the polynomial
- The total number of terms in the polynomial
- The highest exponent of the variable in the polynomial (correct)
Which of the following describes like terms in algebraic expressions?
Which of the following describes like terms in algebraic expressions?
- Terms that share the same degree
- Terms that have different variables
- Terms that have identical coefficients
- Terms with the same variables and exponents (correct)
When multiplying two polynomials, what occurs to the degrees of the polynomials?
When multiplying two polynomials, what occurs to the degrees of the polynomials?
- The degrees are subtracted
- The degrees are added together (correct)
- The degrees remain unchanged
- The degrees are multiplied together
What does factorization of an algebraic expression entail?
What does factorization of an algebraic expression entail?
What is true about the product of two polynomial powers with the same base?
What is true about the product of two polynomial powers with the same base?
Flashcards
Degree of a polynomial
Degree of a polynomial
The highest power of the variable in a polynomial.
Like terms
Like terms
Terms in an expression with the same variable and exponent.
Degree of the product of polynomials
Degree of the product of polynomials
The product of two or more polynomials results in a polynomial whose degree is the sum of the degrees of the original polynomials.
Factor
Factor
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Factorization
Factorization
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Study Notes
Polynomials
- The highest exponent/power of the variable in a polynomial is called the degree of the polynomial.
- Polynomials can have an infinite number of terms.
- In an algebraic expression, terms with the same variables and exponents are called like terms.
- The product of two or more polynomials has a degree equal to the sum of the degrees of the individual polynomials.
- To find the product of polynomials, apply the law of exponents (multiply powers with the same base and add the exponents).
- A factor divides a number or expression completely with no remainder.
- Numbers/expressions can be factored into different combinations.
- Factorization is the process of finding the factors of an algebraic expression; it's the reverse of expansion.
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