Operations with 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 polynomials by degree?

Back

Polynomials are classified by the highest power of the variable: constant (degree 0), linear (degree 1), quadratic (degree 2), cubic (degree 3), and so on.

Front

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

Back

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

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms.

Front

What is a monomial?

Back

A monomial is a polynomial that contains exactly one term.

Front

What is the result of dividing the polynomial (6x^2 + 11x + 3) by (2x + 1)?

Back

The result is 3x + 2.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients.

Front

What is the product of (x - 2)^2?

Back

The product is x^2 - 4x + 4.

Front

What is a constant polynomial?

Back

A constant polynomial is a polynomial of degree 0, which has no variable term, such as 12.

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a single term, while a polynomial can have multiple terms.