What is a polynomial?
Polynomial Operations

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•
Mathematics
•
9th - 12th 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 and coefficients. For example, 4x^2 - 21x + 5 is a polynomial.
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. For example, in the polynomial 7x^3 - 8x^2 + 9, the degree is 3.
3.
FLASHCARD QUESTION
Front
What is a monomial?
Back
A monomial is a polynomial with only one term. For example, 5x^2 is a monomial.
4.
FLASHCARD QUESTION
Front
What is a binomial?
Back
A binomial is a polynomial with exactly two terms. For example, 3x + 4 is a binomial.
5.
FLASHCARD QUESTION
Front
What is a trinomial?
Back
A trinomial is a polynomial with exactly three terms. For example, 4x^2 - 21x + 5 is a trinomial.
6.
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) = 3y^3 + 7y^2 - 4y + 3.
7.
FLASHCARD QUESTION
Front
How do you subtract polynomials?
Back
To subtract polynomials, distribute the negative sign and then combine like terms. For example, (3x^3 + 3x^2 + 5) - (x^3 - 2x^2 + x - 4) = 2x^3 + 5x^2 - x + 9.
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