A binomial is a polynomial that has exactly two terms. For example, $$3x + 5$$ is a binomial.

A trinomial is a polynomial that has exactly three terms. For example, $$x^2 + 4x + 4$$ is a trinomial.

A monomial is a polynomial that has exactly one term. For example, $$5x^3$$ is a monomial.

What is the product of two polynomials?

The product of two polynomials is found by multiplying each term in the first polynomial by each term in the second polynomial. For example, the product of $$(2x + 3)(x + 1)$$ is $$2x^2 + 5x + 3$$ .

What does it mean to simplify a polynomial?

Simplifying a polynomial means combining like terms and reducing the expression to its simplest form. For example, $$3x + 2x - 5 + 4$$ simplifies to $$5x - 1$$ .

What is a coefficient in a polynomial?

A coefficient is a numerical factor in a term of a polynomial. For example, in $$7x^2$$ , the coefficient is 7.

What is a leading coefficient?

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

What is the difference between a polynomial and a non-polynomial?

A polynomial consists of terms with non-negative integer exponents, while a non-polynomial may include negative exponents, fractions, or variables in the denominator. For example, $$x^{-1} + 2$$ is a non-polynomial.

What is the zero polynomial?

The zero polynomial is the polynomial that has no terms and is equal to zero. It is represented as $$0$$ .

Dec 2 Polynomials Review Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

What is a polynomial?

Back

2.

FLASHCARD QUESTION

Front

What is the standard form 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 add polynomials?

Back

6.

FLASHCARD QUESTION

Front

What is the degree of a polynomial?

Back

7.

FLASHCARD QUESTION

Front

What is a monomial?

Back

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