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

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

A monomial is a polynomial with only one term. For example, $$5x^2$$ and $$-3xy$$ are monomials.

A binomial is a polynomial with exactly two terms. For example, $$x + 5$$ and $$3x^2 - 2x$$ are binomials.

A trinomial is a polynomial with exactly three terms. For example, $$x^2 + 3x + 2$$ is a trinomial.

What is the formula for the product of a sum and a difference?

The formula is $$(a + b)(a - b) = a^2 - b^2$$ .

How do you divide a polynomial by a monomial?

To divide a polynomial by a monomial, divide each term of the polynomial by the monomial. For example, $$\frac{6x^2 + 9x}{3x} = 2x + 3$$ .

What is the remainder theorem?

The remainder theorem states that if a polynomial $$f(x)$$ is divided by $$(x - c)$$ , the remainder is $$f(c)$$ .

What is the factor theorem?

The factor theorem states that a polynomial $$f(x)$$ has a factor $$(x - c)$$ if and only if $$f(c) = 0$$ .

What is the significance of the leading coefficient in a polynomial?

The leading coefficient is the coefficient of the term with the highest degree in a polynomial. It determines the end behavior of the polynomial function.

Operations with Polynomials 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

Tags

CCSS.HSA.APR.A.1

3.

FLASHCARD QUESTION

Front

What is the process of subtracting polynomials?

Back

Tags

CCSS.HSA.APR.A.1

4.

FLASHCARD QUESTION

Front

How do you multiply two polynomials?

Back

To multiply two polynomials, use the distributive property (also known as the FOIL method for binomials) to multiply each term in the first polynomial by each term in the second polynomial, then combine like terms.

Tags

CCSS.HSA.APR.A.1

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.A.1

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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