Alg F2 Classifying Polynomials Flashcard #10 (F2024)

Front

What is a polynomial?

Back

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

Front

Define a quadratic polynomial.

Back

A quadratic polynomial is a polynomial of degree 2, typically in the form ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, which can be expressed in the form ax² + bx + c.

Front

Classify the polynomial 4x^3 - 2x + 7 by the number of terms.

Back

Trinomial (since it has three terms).

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

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

Back

Quartic polynomial (degree 4).

Front

What is a constant term in a polynomial?

Back

A constant term is a term in a polynomial that does not contain any variables, represented by a number.

Front

Identify the degree of the polynomial 2x^5 - 3x^3 + 4x - 1.

Back

5 (the highest exponent of x).

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as ax + b.

Front

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

Back

Quadratic polynomial (degree 2).