What is a polynomial?
Polynomial Operations

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Mathematics
•
9th - 11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers, along with coefficients. For example, 3x^2 + 2x - 5 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 - x + 7, the degree is 3.
3.
FLASHCARD QUESTION
Front
How do you add polynomials?
Back
To add polynomials, combine like terms. For example, (3y^2 + y^3 - 5) + (4y^2 - 4y + 2y^3 + 8) = (1y^3 + 3y^2 + 4y^2) + (-4y) + (3) = 3y^3 + 7y^2 - 4y + 3.
4.
FLASHCARD QUESTION
Front
How do you subtract polynomials?
Back
To subtract polynomials, distribute the negative sign and then combine like terms. For example, (3 - 2x + 2x^2) - (4x - 5 + 3x^2) = (2x^2 - 3x + 8).
5.
FLASHCARD QUESTION
Front
What is the product of two binomials?
Back
The product of two binomials can be found using the distributive property (FOIL method). For example, (3r - 4)(7r - 5) = 21r^2 - 15r - 28r + 20 = 21r^2 - 43r + 20.
6.
FLASHCARD QUESTION
Front
What are like terms?
Back
Like terms are terms that have the same variable raised to the same power. For example, 3x^2 and 5x^2 are like terms, while 3x^2 and 4x are not.
7.
FLASHCARD QUESTION
Front
What is the difference between a monomial and a polynomial?
Back
A monomial is a polynomial with only one term, such as 5x or -3y^2. A polynomial can have multiple terms, such as 2x^2 + 3x - 1.
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