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, $$x^2 + 5x + 6$$ is a trinomial.

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

The result is $$20x^2 - 3x - 2$$ .

What is the result of $$ (5x + 2)(x^2 - 3x + 6) $$ ?

The result is $$5x^3 - 13x^2 + 24x + 12$$ .

What is the process of simplifying a polynomial expression?

Simplifying a polynomial expression involves combining like terms and reducing the expression to its simplest form.

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 does it mean to factor a polynomial?

Factoring a polynomial means expressing it as a product of its factors. For example, $$x^2 - 9 = (x - 3)(x + 3)$$ .

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.

Operations with polynomials REVIEW Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is a polynomial?

Back

2.

FLASHCARD QUESTION

Front

What does it mean to add polynomials?

Back

3.

FLASHCARD QUESTION

Front

How do you subtract polynomials?

Back

4.

FLASHCARD QUESTION

Front

What is the degree of a polynomial?

Back

5.

FLASHCARD QUESTION

Front

What is the leading coefficient of a polynomial?

Back

6.

FLASHCARD QUESTION

Front

What is polynomial long division?

Back

Polynomial long division is a method used to divide a polynomial by another polynomial, similar to numerical long division.

7.

FLASHCARD QUESTION

Front

How do you multiply two polynomials?

Back

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