Classifying, Adding/Subtracting, and Multiplying 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 their degree, which is the highest power of the variable in the expression. For example, a polynomial of degree 2 is called a quadratic.

Front

What are the different classifications of polynomials based on the number of terms?

Back

Polynomials can be classified as monomials (1 term), binomials (2 terms), and trinomials (3 terms). Polynomials with more than three terms are simply called polynomials.

Front

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

Back

The degree of the polynomial is 3, which is the highest exponent of the variable x.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients while keeping the variable part the same.

Front

What is the result of subtracting the polynomial (3x^2 + 4x) - (2x^2 + x)?

Back

The result is x^2 + 3x.

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: Area = length × width.

Front

If the length of a rectangle is (5x - 2) and the width is (3x + 4), what is the area?

Back

The area is (5x - 2)(3x + 4) = 15x^2 + 14x - 8.

Front

What is the perimeter of a rectangle?

Back

The perimeter of a rectangle is calculated using the formula: Perimeter = 2(length + width).

Front

If the length of a rectangle is 4x and the width is 3x, what is the perimeter?

Back

The perimeter is 2(4x + 3x) = 14x.