Adding and Subtracting Polynomials

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•
Mathematics
•
10th 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 whole number exponents and coefficients. For example, 3x^2 + 2x + 1 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 4x^3 + 2x^2 + 5, the degree is 3.
3.
FLASHCARD QUESTION
Front
How do you add polynomials?
Back
To add polynomials, combine like terms by adding their coefficients. For example, (2x^2 + 3x) + (4x^2 + 5) = (2x^2 + 4x^2) + 3x + 5 = 6x^2 + 8x.
4.
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.
5.
FLASHCARD QUESTION
Front
What is the result of adding (x - 2) and (x^2 + 3)?
Back
The result is x^2 + x + 1.
6.
FLASHCARD QUESTION
Front
How do you subtract polynomials?
Back
To subtract polynomials, distribute the negative sign to the second polynomial and then combine like terms. For example, (3x^2 + 2x) - (x^2 + x) = 3x^2 + 2x - x^2 - x = 2x^2 + x.
7.
FLASHCARD QUESTION
Front
What is the perimeter of a rectangle with length x and width y?
Back
The perimeter P of a rectangle is given by the formula P = 2(length + width). If length = x and width = y, then P = 2(x + y) = 2x + 2y.
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