4.2 Warm Up (what factoring method)

Front

What is the Difference of Perfect Squares method in factoring?

Back

The Difference of Perfect Squares method is used to factor expressions of the form a^2 - b^2, which can be factored as (a - b)(a + b).

Tags

CCSS.HSA.APR.C.4

Front

How do you identify a quadratic expression suitable for X-Factor method?

Back

A quadratic expression is suitable for the X-Factor method if it can be expressed in the form ax^2 + bx + c, where a, b, and c are constants.

Front

What is the GCF (Greatest Common Factor) method in factoring?

Back

The GCF method involves factoring out the largest factor common to all terms in an expression.

Front

What types of expressions can be factored using the Difference of Perfect Squares method?

Back

Expressions that can be factored using this method are those that can be written as the difference between two perfect squares, such as x^2 - 9 or x^2 - 1.

Tags

CCSS.HSA.APR.C.4

Front

What does it mean if an expression is 'Not Factorable'?

Back

An expression is 'Not Factorable' if it cannot be expressed as a product of simpler expressions, often because it does not have rational roots.

Front

What is the first step in factoring a quadratic expression using the X-Factor method?

Back

The first step is to identify two numbers that multiply to ac (the product of a and c) and add to b (the coefficient of x).

Front

Can the expression x^2 - 2 be factored? If so, how?

Back

The expression x^2 - 2 cannot be factored over the integers, as it does not have rational roots.

Tags

CCSS.HSA.APR.C.4

Front

What is the general form of a quadratic expression?

Back

The general form of a quadratic expression is ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is the significance of the coefficients in a quadratic expression when using the X-Factor method?

Back

The coefficients determine the roots of the quadratic equation and are essential for finding the factors.

Front

How can you check if your factored expression is correct?

Back

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