Mixed Factoring

Front

What is Mixed Factoring?

Back

Mixed factoring involves factoring expressions that contain both numerical coefficients and variables, often requiring the use of the greatest common factor (GCF) and other factoring techniques.

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions without leaving a remainder.

Front

Factor the expression completely: 3x² + 18x + 15

Back

3(x + 5)(x + 1)

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression, look for two numbers that multiply to the constant term and add to the coefficient of the linear term.

Front

Factor the expression: 56a³ - 8a

Back

8a(7a² - 1)

Front

What is a difference of squares?

Back

A difference of squares is a special factoring case where an expression is in the form a² - b², which factors to (a - b)(a + b).

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression completely: 15m² - 10m - 25

Back

5(m + 1)(3m - 5)

Front

What is the formula for factoring a difference of squares?

Back

The formula is a² - b² = (a - b)(a + b).

Tags

CCSS.HSA.APR.C.4

Front

Factor the expression: 16n² - 25

Back

(4n + 5)(4n - 5)

Tags

CCSS.HSA.APR.C.4

Front

What is the first step in factoring polynomials?

Back

The first step is to look for the greatest common factor (GCF) among the terms.