A binomial is a polynomial with exactly two terms. Example: $$3x + 4$$ .

A trinomial is a polynomial with exactly three terms. Example: $$x^2 + 5x + 6$$ .

What is the result of $$ (2x - 1)(x + 2) $$ ?

The result is $$2x^2 + 3x - 2$$ .

What is polynomial long division?

Polynomial long division is a method for dividing a polynomial by another polynomial of lower degree, similar to numerical long division.

A monomial is a polynomial with exactly one term. Example: $$5x^3$$ .

Like terms are terms in a polynomial that have the same variable raised to the same power. Example: $$3x^2$$ and $$5x^2$$ are like terms.

What is the difference between a polynomial and a rational expression?

A polynomial is an expression with non-negative integer exponents, while a rational expression is a ratio of two polynomials.

What is the standard form of a polynomial?

The standard form of a polynomial is written in descending order of the degree of its terms. Example: $$4x^3 + 2x^2 - x + 7$$ .

What is the leading coefficient of a polynomial?

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

How do you classify polynomials by the number of terms?

Polynomials can be classified as monomials (1 term), binomials (2 terms), or trinomials (3 terms). Example: $$6x - 2$$ is a binomial.

Polynomial unit review Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is a polynomial?

Back

2.

FLASHCARD QUESTION

Front

What is the degree of a polynomial?

Back

3.

FLASHCARD QUESTION

Front

What is a binomial?

Back

4.

FLASHCARD QUESTION

Front

What is a trinomial?

Back

5.

FLASHCARD QUESTION

Front

How do you multiply two binomials?

Back

To multiply two binomials, use the distributive property (FOIL method). Example: For (a + b)(c + d), the result is ac + ad + bc + bd.

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

How do you add polynomials?

Back

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