Alg F2 Classifying Polynomials Flashcard #10 (F2024)

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is when it is written in descending order of the degree of its terms, starting with the term of the highest degree.

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.

Front

How do you determine the degree of a polynomial?

Back

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

Front

What is a constant polynomial?

Back

A constant polynomial is a polynomial of degree 0, which means it has no variable term and is simply a constant value.

Front

What is a linear polynomial?

Back

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

Front

What is a quadratic polynomial?

Back

A quadratic polynomial is a polynomial of degree 2, which can be expressed in the form ax² + bx + c, where a, b, and c are constants.

Front

What is a cubic polynomial?

Back

A cubic polynomial is a polynomial of degree 3, which can be expressed in the form ax³ + bx² + cx + d, where a, b, c, and d are constants.

Front

Is the expression 4x^2 + 3x - 5 in standard form?

Back

Yes, it is in standard form because the terms are arranged in descending order of degree.

Front

Classify the polynomial 5x^4 - 2x^3 + x - 7 by degree.

Back

It is a polynomial of degree 4.