Classifying Polynomials

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 are the different types of polynomials based on their degree?

Back

1. Constant (degree 0) 2. Linear (degree 1) 3. Quadratic (degree 2) 4. Cubic (degree 3) 5. Quartic (degree 4) 6. Quintic (degree 5) 7. Higher degree polynomials.

Front

How do you classify a polynomial with one term?

Back

A polynomial with one term is called a monomial.

Front

How do you classify a polynomial with two terms?

Back

A polynomial with two terms is called a binomial.

Front

How do you classify a polynomial with three terms?

Back

A polynomial with three terms is called a trinomial.

Front

What is the degree of the polynomial -4x + 8?

Back

The degree of the polynomial -4x + 8 is 1, making it a linear polynomial.

Front

What is the degree of the polynomial 7x^2 - 4x + 8?

Back

The degree of the polynomial 7x^2 - 4x + 8 is 2, making it a quadratic polynomial.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial arranges the terms by degree in descending numerical order.

Front

What is a constant polynomial?

Back

A constant polynomial is a polynomial of degree 0, which has no variable term, such as 7.

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.