Adding and Subtracting Polynomials

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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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 - 5 is a polynomial.
2.
FLASHCARD QUESTION
Front
What does it mean to add polynomials?
Back
Adding polynomials involves combining like terms from each polynomial. Like terms are terms that have the same variable raised to the same power.
3.
FLASHCARD QUESTION
Front
What does it mean to subtract polynomials?
Back
Subtracting polynomials involves changing the signs of the terms in the polynomial being subtracted and then combining like terms.
4.
FLASHCARD QUESTION
Front
How do you identify like terms in polynomials?
Back
Like terms are terms that have the same variable raised to the same power. For example, in the expression 3x^2 + 5x - 2x^2, the like terms are 3x^2 and -2x^2.
5.
FLASHCARD QUESTION
Front
What is the sum of (2x^2 + 5x - 7) and (3 - 4x^2 + 6x)?
Back
The sum is -2x^2 + 11x - 4.
6.
FLASHCARD QUESTION
Front
What is the result of (4x^2 + x) - (x^2 - 2x)?
Back
The result is 3x^2 + 3x.
7.
FLASHCARD QUESTION
Front
How do you simplify (x^3 - x^2 + 4) - (3x^3 - 2x^2 + 3)?
Back
The simplification results in -2x^3 + x^2 + 1.
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