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 is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms.

Front

What is the sum of (x + 3) and (x + 1)?

Back

2x + 4.

Front

What is the product of (x + 3) and (x + 1)?

Back

x² + 4x + 3.

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign and then combine like terms.

Front

What is the result of (3x² + 4x - 2) - (5x + 7)?

Back

3x² - x - 9.

Front

What is the area of a rectangle with length (2x + 3) and width (x - 2)?

Back

(2x² - x - 6) square units.

Front

What is the perimeter of a rectangle with length (3x) and width (2)?

Back

6x + 4.

Front

What is the result of 2(2x + 1) + 8x - 3?

Back

12x - 1.