"Equivalent"

Front

What is a factor in algebra?

Back

A factor is a number or expression that divides another number or expression evenly, without leaving a remainder.

Front

How do you factor a quadratic expression of the form ax² + bx + c?

Back

To factor a quadratic expression, look for two numbers that multiply to ac (the product of a and c) and add to b. Then, rewrite the expression using these numbers.

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 variables involved.

Front

What is the square root of a number?

Back

The square root of a number x is a value that, when multiplied by itself, gives x. It is denoted as √x.

Front

How can you simplify the square root of a product?

Back

The square root of a product can be simplified using the property √(a*b) = √a * √b.

Front

What is the process of expanding a binomial expression?

Back

Expanding a binomial expression involves using the distributive property or the FOIL method (First, Outside, Inside, Last) to multiply the binomials.

Front

What is the significance of the quadratic formula?

Back

The quadratic formula, x = (-b ± √(b² - 4ac)) / (2a), is used to find the roots of a quadratic equation.

Front

What is the difference between a polynomial and a monomial?

Back

A polynomial is an expression that consists of multiple terms, while a monomial is a single term.

Front

How do you identify the roots of a quadratic equation?

Back

The roots of a quadratic equation can be found by factoring, completing the square, or using the quadratic formula.

Front

What is the relationship between the factors and roots of a polynomial?

Back

The roots of a polynomial are the values of x that make the polynomial equal to zero, and the factors are the expressions that multiply to give the polynomial.