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, $$3x + 4$$ is a binomial.

A trinomial is a polynomial with exactly three terms. For example, $$x^2 + 2x + 1$$ 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 $$7x^5 - 9x^2 + 6x$$ , the leading coefficient is 7.

What is the area of a rectangle represented by a polynomial?

The area of a rectangle can be represented by the product of its length and width, which can be expressed as a polynomial. For example, if length = $$5x$$ and width = $$(5x - 4)$$ , then area = $$25x^2 - 20x$$ .

Like terms are terms that have the same variable raised to the same power. For example, $$3x^2$$ and $$5x^2$$ are like terms.

What is the process of multiplying polynomials?

To multiply polynomials, use the distributive property (FOIL for binomials) to multiply each term in the first polynomial by each term in the second polynomial.

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

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

What is a polynomial in standard form?

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

What is the difference between a term and a polynomial?

A term is a single mathematical expression (like $$3x^2$$ ), while a polynomial is a sum of one or more terms (like $$3x^2 + 2x - 5$$ ).

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). More than three terms can be called a polynomial with multiple terms.

Classifying, Adding/Subtracting, and Multiplying Polynomials Flashcards

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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 monomial?

Back

4.

FLASHCARD QUESTION

Front

What is a binomial?

Back

5.

FLASHCARD QUESTION

Front

What is a trinomial?

Back

6.

FLASHCARD QUESTION

Front

How do you add polynomials?

Back

7.

FLASHCARD QUESTION

Front

How do you subtract polynomials?

Back

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