Classifying Polynomials #2

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

How do you classify a polynomial by degree?

Back

A polynomial is classified by its degree, which is the highest exponent of the variable in the expression. For example, a polynomial with a highest exponent of 3 is called a cubic polynomial.

Front

What are the different classifications of polynomials based on 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) and so on.

Front

What is a binomial?

Back

A binomial is a polynomial that consists of exactly two terms. For example, 3x + 5 is a binomial.

Front

What is a monomial?

Back

A monomial is a polynomial that consists of exactly one term. For example, 4x^2 is a monomial.

Front

What is a trinomial?

Back

A trinomial is a polynomial that consists of exactly three terms. For example, x^2 + 3x + 2 is a trinomial.

Front

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

Back

Polynomials can be classified based on the number of terms as follows: 1. Monomial (1 term) 2. Binomial (2 terms) 3. Trinomial (3 terms) 4. Polynomial (4 or more terms).

Front

What is the degree of the polynomial 5x^4 + 3x^2 - 2?

Back

The degree of the polynomial 5x^4 + 3x^2 - 2 is 4, as the highest exponent is 4.

Front

What is the difference between a cubic polynomial and a quartic polynomial?

Back

A cubic polynomial has a degree of 3, while a quartic polynomial has a degree of 4.

Front

Classify the polynomial 2x^3 - 4x + 1 by degree and number of terms.

Back

It is a cubic trinomial.