Factoring Polynomials

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 Greatest Common Factor of 24 and 54?

• 2

• 4

• 6

• 8

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

• 1

• 4

• 8

• 10

What is the GCF of 𝑥 ² and 𝑥 ⁹ ?

• x²

• x⁷

• x¹¹

• x⁹

What are the complete factors of the polynomial 7𝑥 − 7?

• 7(𝑥 − 1)

• 7(1 − x)

• 7𝑥 – 1

• 7(𝑥 − 7)

Which of the following pair of numbers has a GCF of 6?

• 2 and 3

• 8 and 12

• 6 and 10

• 12 and 18

All of the following are factors of 12x² except one. What is it?

• 12

• 12x

• 12x²

• 12x³

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