Mixed Factoring

Front

What is the Greatest Common Factor (GCF)?

Back

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

Front

How do you factor using the GCF?

Back

To factor using the GCF, identify the largest common factor of the terms, then divide each term by the GCF and express the original expression as the product of the GCF and the resulting expression.

Front

Factor the expression: 2x + 18

Back

2(x + 9)

Tags

CCSS.7.EE.A.1

Front

What is a trinomial?

Back

A trinomial is a polynomial with three terms, typically in the form ax^2 + bx + c.

Front

Factor the trinomial: n^2 + 16n + 63

Back

(n + 7)(n + 9)

Front

What is the process of factoring a trinomial?

Back

To factor a trinomial, find two numbers that multiply to the constant term and add to the coefficient of the linear term.

Front

Factor the trinomial: x^2 - 15x + 36

Back

(x - 12)(x - 3)

Front

What does it mean to factor out the GCF?

Back

Factoring out the GCF means to extract the largest common factor from each term in an expression, simplifying it.

Front

Factor the expression: 10x³ - 15x

Back

5x(2x² - 3)

Front

What is a monomial?

Back

A monomial is a polynomial with only one term.