Multiplying Polynomials Review Flashcard

Front

What is the result of multiplying the polynomials (x + 3)(x + 2)?

Back

The result is x^2 + 5x + 6.

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What is the result of multiplying the polynomials (2x - 3)(x - 2)?

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The result is 2x^2 - 7x + 6.

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What is the result of multiplying the polynomials (x - 7)(x + 7)?

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The result is x^2 - 49.

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What is the result of multiplying the polynomials (x + 2)(x - 2)?

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The result is x^2 - 4.

Front

Define a polynomial.

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.

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What is the FOIL method in multiplying binomials?

Back

FOIL stands for First, Outside, Inside, Last; it is a method used to multiply two binomials.

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What does the term 'like terms' mean in polynomials?

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Like terms are terms that have the same variable raised to the same power.

Front

What is the difference between a monomial and a binomial?

Back

A monomial is a polynomial with one term, while a binomial has two terms.

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