Like terms are terms in a polynomial that have the same variable raised to the same power. For example, $$3x^2$$ and $$5x^2$$ are like terms, while $$3x^2$$ and $$4x^3$$ are not.

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

A binomial is a polynomial with exactly two terms. For example, $$x^2 + 3x$$ and $$4y - 5$$ are binomials.

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

What is the difference between a polynomial and a rational function?

A polynomial is an expression that consists of variables raised to non-negative integer powers, while a rational function is a ratio of two polynomials. For example, $$f(x) = \frac{x^2 + 1}{x - 1}$$ is a rational function.

What is the leading coefficient of a polynomial?

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

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.

How do you identify the roots of a polynomial?

The roots of a polynomial are the values of the variable that make the polynomial equal to zero. For example, to find the roots of $$x^2 - 5x + 6 = 0$$ , factor it to get $$(x-2)(x-3) = 0$$ , so the roots are $$x = 2$$ and $$x = 3$$ .

What is the factor theorem?

The factor theorem states that if a polynomial $$f(x)$$ has a root $$r$$ , then $$(x - r)$$ is a factor of $$f(x)$$ . For example, if $$f(x) = x^2 - 4$$ has a root $$x = 2$$ , then $$(x - 2)$$ is a factor.

Polynomials 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 are like terms?

Back

3.

FLASHCARD QUESTION

Front

How do you find the value of a polynomial at a specific point?

Back

4.

FLASHCARD QUESTION

Front

What is the degree of a polynomial?

Back

5.

FLASHCARD QUESTION

Front

What is the end behavior of a polynomial function?

Back

6.

FLASHCARD QUESTION

Front

What is the sum of two polynomials?

Back

7.

FLASHCARD QUESTION

Front

What is the product of two polynomials?

Back

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