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 degree of a polynomial?

The degree of a polynomial is the highest power of the variable in the polynomial. For example, in $$2x^3 + 3x^2 + 5$$ , the degree is 3.

What are like terms in a polynomial?

Like terms are terms that have the same variable raised to the same power. For example, $$3x^2$$ and $$5x^2$$ are like terms.

How do you factor a polynomial?

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

What is the standard form of a polynomial?

The standard form of a polynomial is written in descending order of the degree of its terms. For example, $$4x^3 + 2x^2 - x + 7$$ 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 $$5x^4 + 3x^2 - 2$$ , the leading coefficient is 5.

What is the difference between a monomial, binomial, and trinomial?

A monomial has one term (e.g., $$3x$$ ), a binomial has two terms (e.g., $$x + 2$$ ), and a trinomial has three terms (e.g., $$x^2 + 3x + 4$$ ).

What is the purpose of polynomial long division?

Polynomial long division is used to divide a polynomial by another polynomial of a lower degree, similar to numerical long division, to find the quotient and remainder.

Flashcard Operations with Polynomials

Flashcard

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Mathematics

•

9th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA.APR.A.1, HSA.APR.D.6, HSA.APR.B.2

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FLASHCARD QUESTION

Front

What is a polynomial?

Back

FLASHCARD QUESTION

Front

What does it mean to add polynomials?

Back

Tags

CCSS.HSA.APR.A.1

FLASHCARD QUESTION

Front

What is the process of subtracting polynomials?

Back

Tags

CCSS.HSA.APR.A.1

FLASHCARD QUESTION

Front

How do you multiply polynomials?

Back

Tags

CCSS.HSA.APR.A.1

FLASHCARD QUESTION

Front

What is the formula for squaring a binomial?

Back

Tags

CCSS.HSA.APR.C.4

FLASHCARD QUESTION

Front

What is synthetic division?

Back

Tags

CCSS.HSA.APR.D.6

FLASHCARD QUESTION

Front

What is the Remainder Theorem?

Back

Tags

CCSS.HSA.APR.B.2

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