Polynomial Operations- +, -, & *

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Mathematics
•
University
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a polynomial?
Back
A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 2x^2 + 3x + 1 is a polynomial.
2.
FLASHCARD QUESTION
Front
What are the degrees of polynomials?
Back
The degree of a polynomial is the highest power of the variable in the expression. For example, in the polynomial 4x^3 + 2x^2 + 5, the degree is 3.
3.
FLASHCARD QUESTION
Front
What is the sum of two polynomials?
Back
The sum of two polynomials is obtained by adding their corresponding coefficients. For example, (2x^2 + 3x) + (4x^2 + 5) = 6x^2 + 8x.
4.
FLASHCARD QUESTION
Front
What is the difference of two polynomials?
Back
The difference of two polynomials is obtained by subtracting their corresponding coefficients. For example, (5x^2 + 3) - (2x^2 + 1) = 3x^2 + 2.
5.
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.
6.
FLASHCARD QUESTION
Front
What is the product of (a + b)(a - b)?
Back
The product is a^2 - b^2, which is known as the difference of squares.
7.
FLASHCARD QUESTION
Front
What is the square of a binomial?
Back
The square of a binomial (a + b)^2 is equal to a^2 + 2ab + b^2.
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