Operations on Polynomials Review

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

What is a like term?

Back

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

Front

How do you subtract polynomials?

Back

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

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 area of a rectangle formula?

Back

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

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is calculated using the formula: Area = (base × height) / 2.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variable.

Front

How do you factor a polynomial?

Back

To factor a polynomial, find the greatest common factor (GCF) and use techniques like grouping or applying special product formulas.