Which of the following is a polynomial: $$2x^{-3} + x^2 - 10$$ or $$x^{0.5} + 6x - 3$$ ?

$$2x^{-3} + x^2 - 10$$ is not a polynomial because it has a negative exponent. $$x^{0.5} + 6x - 3$$ is also not a polynomial because it has a fractional exponent.

What is the degree of the polynomial $$3x^4 - 2x^3 + x - 5$$ ?

The degree of the polynomial $$3x^4 - 2x^3 + x - 5$$ is 4, which is the highest exponent of the variable.

What is the leading coefficient of the polynomial $$5x^3 + 2x^2 - 4x + 1$$ ?

The leading coefficient of the polynomial $$5x^3 + 2x^2 - 4x + 1$$ is 5, which is the coefficient of the term with the highest degree.

Can a polynomial have negative coefficients?

Yes, a polynomial can have negative coefficients.

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.

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

A polynomial is an expression with whole number exponents, while a rational expression can include variables in the denominator and may have fractional exponents.

What is a constant term in a polynomial?

A constant term is a term in a polynomial that does not contain any variables, such as $$-5$$ in the polynomial $$3x^2 - 4x - 5$$ .

What is the sum of the polynomials $$2x^2 + 3x - 1$$ and $$x^2 - 4x + 2$$ ?

The sum of the polynomials $$2x^2 + 3x - 1$$ and $$x^2 - 4x + 2$$ is $$3x^2 - x + 1$$ .

What is the product of the polynomials $$(x + 2)$$ and $$(x - 3)$$ ?

The product of the polynomials $$(x + 2)$$ and $$(x - 3)$$ is $$x^2 - x - 6$$ .

What is a zero of a polynomial?

A zero of a polynomial is a value of the variable that makes the polynomial equal to zero.

Polynomial Vocabulary Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables raised to whole number exponents, combined using addition, subtraction, and multiplication.

2.

FLASHCARD QUESTION

Front

What is a monomial?

Back

A monomial is a polynomial with only one term.

3.

FLASHCARD QUESTION

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

4.

FLASHCARD QUESTION

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms.

5.

FLASHCARD QUESTION

Front

What type of exponents must variables in a polynomial have?

Back

Variables in a polynomial must have whole number exponents.

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

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