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

A binomial is a polynomial with exactly two terms, such as $$x + 2$$ or $$3x^2 - 4y$$ .

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

What is a constant polynomial?

A constant polynomial is a polynomial that does not contain any variables, such as $$5$$ or $$-3$$ .

What is a linear polynomial?

A linear polynomial is a polynomial of degree 1, which can be expressed in the form $$ax + b$$ , where $$a$$ and $$b$$ are constants.

What is a quadratic polynomial?

A quadratic polynomial is a polynomial of degree 2, which can be expressed in the form $$ax^2 + bx + c$$ , where $$a$$ , $$b$$ , and $$c$$ are constants.

What is a cubic polynomial?

A cubic polynomial is a polynomial of degree 3, which can be expressed in the form $$ax^3 + bx^2 + cx + d$$ , where $$a$$ , $$b$$ , $$c$$ , and $$d$$ are constants.

How do you determine the number of terms in a polynomial?

Count the distinct terms separated by addition or subtraction. For example, in $$x^2 + 3x - 5$$ , there are 3 terms.

What is the leading coefficient of a polynomial?

The leading coefficient is the coefficient of the term with the highest degree in the polynomial.

Classifying polynomials Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers, combined using addition, subtraction, and multiplication.

2.

FLASHCARD QUESTION

Front

What is a monomial?

Back

3.

FLASHCARD QUESTION

Front

What is a binomial?

Back

4.

FLASHCARD QUESTION

Front

What is a trinomial?

Back

5.

FLASHCARD QUESTION

Front

How do you classify a polynomial by the number of terms?

Back

Polynomials can be classified as monomial (1 term), binomial (2 terms), trinomial (3 terms), or polynomial (4 or more terms).

6.

FLASHCARD QUESTION

Front

What is the degree of a polynomial?

Back

7.

FLASHCARD QUESTION

Front

Back

Quadratic (degree 2).

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