Factoring GCF Multiple Variables

What is the process of finding the factors of an expression which is the reverse process of multiplication?

• rationalization

• special product

• continuous division

• factoring

Refers to the common factor having the greatest numerical factor and with variables having the least degree.

• Least Common Multiple

• Greatest Common Factor

• Perfect Square

• Difference of two squares

What is the GCF of 𝑥 ² and 𝑥 ⁹ ?

• x²

• x⁷

• x¹¹

• x⁹

What is the GCF of 2a³ and a ⁶?

• a³

• 2a³

• a⁶

• 2a⁶

What is the GCF of 𝑥𝑦 ¹⁰ ,𝑥 ⁴𝑦 ⁶ , 𝑥 ⁹𝑦 ⁹ , and 𝑥 ¹⁰𝑦 ¹⁰?

• xy

• xy⁶

• x⁴y⁴

• x⁴y⁶

If one factor of 6ab² – 12 a²b ³ is 1 – 2ab, what is the other factor?

• 6ab

• 6a²b

• 6ab²

• 6a²b ²

Which of the following expressions has factors (2x - y) and (2x + y)?

• 2x² + y²

• 4x² – y ²

• 2x² – y ²

• 2x² – y ²

What is the complete factored form of 27𝑥 ³ – 64𝑦 ³?

• (3x – 4y)

  (9x² + 12xy + 16y² )

• (3x – 4y)

  (9x² - 12xy + 16y² )

• (3x + 4y)

  (9x² - 12xy + 16y² )

• (3x + 4y)

  (9x² + 12xy + 16y² )

What is the GCF of 20, 24, and 40?

• 1

• 4

• 8

• 10

Find the greatest common factor of the polynomial

• 9a⁴b³

• 3a⁴b³

• a⁴b³c

• 9a⁴b³c²