Polynomials, Degree and Leading Coefficient – Quick Check

Polynomials, Degree and Leading Coefficient – Quick Check

Assessment

Flashcard

Mathematics

10th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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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 and coefficients. For example, 2x^2 + 3x + 1 is a polynomial.

2.

FLASHCARD QUESTION

Front

What does it mean to combine like terms in a polynomial?

Back

Combining like terms means to simplify a polynomial by adding or subtracting terms that have the same variable raised to the same power. For example, in 3x^2 + 4x + 2x^2, you can combine 3x^2 and 2x^2 to get 5x^2.

3.

FLASHCARD QUESTION

Front

What is standard form of a polynomial?

Back

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 is in standard form.

4.

FLASHCARD QUESTION

Front

What is the leading coefficient of a polynomial?

Back

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

5.

FLASHCARD QUESTION

Front

How do you determine the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial when it is in standard form. For example, the degree of 4x^3 + 2x^2 + 1 is 3.

6.

FLASHCARD QUESTION

Front

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

Back

The degree of the polynomial 2x^4 + 3x^3 + x is 4.

7.

FLASHCARD QUESTION

Front

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

Back

A monomial has one term (e.g., 3x), a binomial has two terms (e.g., 3x + 2), and a trinomial has three terms (e.g., 3x^2 + 2x + 1).

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