Identify the leading coefficient of the polynomial $$-3x^3 - x^5 + 10x^2$$ .

The leading coefficient is -1, which is the coefficient of the term with the highest degree, $$-x^5$$ .

Classify the polynomial $$x^2 + 7x^3 + x - 10$$ by term and degree.

It is a cubic polynomial, as the highest degree term is $$7x^3$$ .

A monomial is a polynomial with only one term, such as $$3x^2$$ or $$-5$$ .

A binomial is a polynomial with exactly two terms, such as $$x + 5$$ or $$2x^2 - 3x$$ .

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

What is the degree of a polynomial?

The degree of a polynomial is the highest power of the variable in the polynomial.

How do you add polynomials?

To add polynomials, combine like terms by adding their coefficients.

How do you subtract polynomials?

To subtract polynomials, distribute the negative sign and then combine like terms.

Like terms are terms in a polynomial that have the same variable raised to the same power.

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 leading term of a polynomial?

The leading term is the term in a polynomial with the highest degree.

Add and Subtract Polynomials Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a constant in polynomials?

Back

A constant is a term in a polynomial that does not contain any variables. For example, in the polynomial 8, the number 8 is a constant.

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

It is a monomial, as it consists of only one term.

4.

FLASHCARD QUESTION

Front

Back

It is a linear binomial, as it has two terms and the highest degree is 1.

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is a polynomial?

Back

A polynomial is an expression consisting of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

7.

FLASHCARD QUESTION

Front

What is a monomial?

Back

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