Polynomial Operations

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

How do you add polynomials?

Back

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

Front

How do you subtract polynomials?

Back

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

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power.

Front

What is the product of two binomials?

Back

The product of two binomials can be found using the distributive property or the FOIL method (First, Outside, Inside, Last).

Front

What is the difference of squares?

Back

The difference of squares is a special product that states: a² - b² = (a - b)(a + b).

Front

What is the sum of cubes?

Back

The sum of cubes is a special product that states: a³ + b³ = (a + b)(a² - ab + b²).

Front

What is the formula for the product of a sum and a difference?

Back

The product of a sum and a difference is given by: (a + b)(a - b) = a² - b².

Front

How do you factor a polynomial?

Back

To factor a polynomial, look for common factors, use special product formulas, or apply methods like grouping.