Classifying, Adding & Subtracting Polynomials

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

Polynomials are classified by the highest power of the variable. For example, a polynomial of degree 0 is a constant, degree 1 is linear, degree 2 is quadratic, degree 3 is cubic, and so on.

Front

What is the degree of the polynomial 4x^5 - 2x^3 + 7?

Back

The degree of the polynomial is 5, as it is the highest exponent of the variable x.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, such as 3x^2 or -5.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as x + 2 or 3x^2 - 4.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms, such as x^2 + 3x + 2.

Front

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

Back

Polynomials can be classified as monomials (1 term), binomials (2 terms), or trinomials (3 terms), based on the number of terms they contain.

Front

What is the result of adding the polynomials (2x^2 + 3x) and (4x^2 - x)?

Back

The result is 6x^2 + 2x.

Front

What is the result of subtracting the polynomial (3x^2 + 2x) from (5x^2 - x)?

Back

The result is 2x^2 - 3x.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their degrees.