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 factors that, when multiplied together, give the original expression.

Front

What is a factor?

Back

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

Front

What does it mean to factor a quadratic expression?

Back

Factoring a quadratic expression involves rewriting it in the form (x - p)(x - q), where p and q are the roots of the equation.

Front

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

Back

The roots of a polynomial are the values of x that make the polynomial equal to zero, and each root corresponds to a factor of the polynomial.

Tags

CCSS.HSF-IF.C.7C

Front

How do you find the roots of a quadratic equation?

Back

You can find the roots of a quadratic equation using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a), where a, b, and c are coefficients of the equation.

Tags

CCSS.HSA-REI.B.4B

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots: if it's positive, there are two distinct real roots; if zero, one real root; if negative, no real roots.

Tags

CCSS.HSA-REI.B.4B

Front

What is the first step in factoring a polynomial?

Back

The first step in factoring a polynomial is to look for a common factor among all the terms.

Front

What is the difference between prime and composite numbers?

Back

A prime number has exactly two distinct positive divisors: 1 and itself, while a composite number has more than two positive divisors.

Tags

CCSS.4.OA.B.4

Front

What is the zero-product property?

Back

The zero-product property states that if the product of two factors is zero, then at least one of the factors must be zero.

Tags

CCSS.HSA-REI.B.4B

Front

How can you check if your factoring is correct?

Back

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