Like Terms Flashcard

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4x^2 are not.

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Front

How do you add or subtract polynomials?

Back

To add or subtract polynomials, combine like terms. For example, in (5x + x^2 - 4) - (4x - x^2 + 6), combine like terms to get 2x^2 + x - 10.

Front

What is the value of any non-zero number raised to the power of 0?

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Any non-zero number raised to the power of 0 is equal to 1. For example, (-9)^0 = 1.

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What is a polynomial?

Back

A polynomial is an expression made up of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication. For example, 2x^2 + 3x - 5 is a polynomial.

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What are coefficients in a polynomial?

Back

Coefficients are the numerical factors in front of the variables in a polynomial. In 4x^3, the coefficient is 4.

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What is the degree of a polynomial?

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The degree of a polynomial is the highest exponent of the variable in the expression. For example, in 3x^4 + 2x^2 - 5, the degree is 4.

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What is the difference between a monomial and a binomial?

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A monomial is an expression with one term (e.g., 3x), while a binomial has two terms (e.g., 2x + 5).

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How do you combine like terms?

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To combine like terms, add or subtract the coefficients of terms that have the same variable and exponent. For example, 3x + 5x = 8x.