A monomial is a polynomial with only one term. For example, $$5x^2$$ is a monomial.

A binomial is a polynomial with exactly two terms. For example, $$x + 4$$ is a binomial.

A trinomial is a polynomial with exactly three terms. For example, $$x^2 + 3x + 2$$ is a trinomial.

What is the leading coefficient of a polynomial?

The leading coefficient is the coefficient of the term with the highest degree in a polynomial. For example, in $$3x^4 + 2x^3 - x + 5$$ , the leading coefficient is 3.

What is the remainder theorem?

The remainder theorem states that if a polynomial $$f(x)$$ is divided by $$(x - c)$$ , the remainder of that division is equal to $$f(c)$$ .

What is the factor theorem?

The factor theorem states that a polynomial $$f(x)$$ has a factor $$(x - c)$$ if and only if $$f(c) = 0$$ .

Perform synthetic division on $$(2x^3 - 5x - 7)$$ by $$(x - 2)$$ .

The result is $$2x^2 + 4x + 3 - \frac{1}{x - 2}$$ .

What is the standard form of a polynomial?

The standard form of a polynomial is when the terms are arranged in descending order of their degrees. For example, $$4x^3 + 2x^2 - x + 5$$ is in standard form.

Operations with Polynomials Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a polynomial?

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2.

FLASHCARD QUESTION

Front

What is synthetic division?

Back

3.

FLASHCARD QUESTION

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Back

Linear (degree 1)

4.

FLASHCARD QUESTION

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Constant (degree 0)

5.

FLASHCARD QUESTION

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Cubic (degree 3)

6.

FLASHCARD QUESTION

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Back

Binomial (2 terms)

7.

FLASHCARD QUESTION

Front

What is the degree of a polynomial?

Back

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