What is a polynomial?
24-25 Adv Alg2 5-1 FLASHCARD - Operations with Polynomials

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Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.
2.
FLASHCARD QUESTION
Front
What is the degree of a polynomial?
Back
The degree of a polynomial is the highest power of the variable in the polynomial.
3.
FLASHCARD QUESTION
Front
How do you multiply two polynomials?
Back
To multiply two polynomials, use the distributive property (FOIL for binomials) to multiply each term in the first polynomial by each term in the second polynomial, then combine like terms.
4.
FLASHCARD QUESTION
Front
What is the result of (5x + 2)(x^2 - 3x + 6)?
Back
5x^3 - 13x^2 + 24x + 12.
5.
FLASHCARD QUESTION
Front
What does it mean to simplify an expression?
Back
To simplify an expression means to combine like terms and reduce it to its simplest form.
6.
FLASHCARD QUESTION
Front
How do you subtract polynomials?
Back
To subtract polynomials, distribute the negative sign to each term of the polynomial being subtracted, then combine like terms.
7.
FLASHCARD QUESTION
Front
What is the result of (4n^4 - 8n + 4) - (8n^2 + 4n^4 + 1)?
Back
-8n^2 - 8n + 3.
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