What is a like term in polynomials?

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 combining like terms?

Combining like terms involves adding or subtracting the coefficients of like terms to simplify the polynomial. For example, $$2x + 3x = 5x$$ .

What is the difference between a monomial and a polynomial?

A monomial is a polynomial with only one term, while a polynomial can have multiple terms. For example, $$3x$$ is a monomial, and $$3x + 2$$ is a polynomial.

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.

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 $$5x^4 + 3x^3 - 2x + 1$$ , the leading coefficient is 5.

What is the zero polynomial?

The zero polynomial is a polynomial in which all coefficients are zero. It is represented as $$0$$ and has no degree.

What is the difference between a binomial and a trinomial?

A binomial is a polynomial with two terms, while a trinomial has three terms. For example, $$x + 2$$ is a binomial, and $$x^2 + 3x + 4$$ is a trinomial.

Polynomial Operations Flashcards

Student preview

14 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 the sum of two polynomials?

Back

4.

FLASHCARD QUESTION

Front

How do you subtract polynomials?

Back

5.

FLASHCARD QUESTION

Front

What is polynomial long division?

Back

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

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What does it mean to expand a polynomial?

Back

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