A monomial is a polynomial with only one term. For example, $$5x^3$$ is a monomial.

A binomial is a polynomial with two terms. For example, $$x^2 + 3x$$ is a binomial.

A trinomial is a polynomial with three terms. For example, $$x^2 + 2x + 1$$ is a trinomial.

What is the product of $$ (4x - 1)(5x - 2) $$ ?

The product is $$20x^2 - 13x + 2$$ .

What is the product of $$ -3x^2(7x^2 - x + 4) $$ ?

The product is $$-21x^4 + 3x^3 - 12x^2$$ .

How do you classify the polynomial $$ x^2 - 4x - 1 $$ ?

It is classified as a quadratic trinomial.

What is a constant polynomial?

A constant polynomial is a polynomial that has no variable term, only a constant. For example, $$6$$ is a constant polynomial.

What is the leading coefficient of a polynomial?

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

What is the difference between a linear polynomial and a quadratic polynomial?

A linear polynomial has a degree of 1 (e.g., $$2x + 3$$ ), while a quadratic polynomial has a degree of 2 (e.g., $$x^2 - 4x + 4$$ ).

What does it mean to simplify a polynomial?

Simplifying a polynomial means combining like terms to reduce it to its simplest form. For example, $$3x + 2x - 5$$ simplifies to $$5x - 5$$ .

What is the zero polynomial?

The zero polynomial is a polynomial that has all coefficients equal to zero. It is represented as $$0$$ .

What is the difference between a term and a polynomial?

A term is a single mathematical expression (e.g., $$3x^2$$ ), while a polynomial is a sum of one or more terms (e.g., $$3x^2 + 2x + 1$$ ).

Polynomial Operations and Expressions Flashcards

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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

How do you multiply two binomials?

Back

To multiply two binomials, use the distributive property (FOIL method): First, Outer, Inner, Last. For example, for (a + b)(c + d), the result is ac + ad + bc + bd.

4.

FLASHCARD QUESTION

Front

What is a monomial?

Back

5.

FLASHCARD QUESTION

Front

What is a binomial?

Back

6.

FLASHCARD QUESTION

Front

What is a trinomial?

Back

7.

FLASHCARD QUESTION

Front

Back

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