Factoring Intro - X Game

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

Front

What is a factor?

Back

A factor is a number or algebraic expression that divides another number or expression evenly.

Front

What does it mean to find the missing number in an equation?

Back

Finding the missing number involves solving for a variable that makes the equation true.

Front

What is the significance of the numbers 9 and -2 in factoring?

Back

These numbers can represent the roots of a quadratic equation, indicating where the graph intersects the x-axis.

Front

How do you factor the expression x^2 - 7x + 9?

Back

To factor this expression, find two numbers that multiply to 9 and add to -7. The factors are (x - 9)(x + 2).

Front

What is the quadratic formula?

Back

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

Front

What does it mean if a number is a root of an equation?

Back

A root of an equation is a solution that makes the equation true, often represented as the x-intercepts of the graph.

Front

What is the relationship between roots and factors?

Back

If r is a root of a polynomial, then (x - r) is a factor of that polynomial.

Front

How do you check if your factors are correct?

Back

You can check by multiplying the factors back together to see if you get the original expression.

Front

What is the process of completing the square?

Back

Completing the square involves rewriting a quadratic in the form (x - p)² = q to easily find its roots.