Factoring by Greatest Common Monomial Factor

What is the Greatest Common Factor of 24 and 54?

• 1

• 2

• 3

• 6

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

• 1

• 4

• 8

• 20

What is the GCF of 𝑥 ² and 𝑥 ⁹ ?

• x²

• x⁷

• x¹¹

• x¹⁸

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

• xy

• xy⁶

• x⁴y4

• x⁴y⁶

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

• 7(𝑥 − 1)

• 7(1 − 𝑥)

• 7𝑥 – 1

• 7(𝑥 − 7)

Tags

CCSS.7.EE.A.1

What are the complete factors of 2𝑥 ⁶ - 12𝑥 ⁴ ?

• 2(𝑥 ⁴ - 6𝑥 ⁴ )

• 2𝑥 ⁵ (𝑥 − 6𝑥)

• 2𝑥 ⁴ (𝑥 ² − 6)

• 𝑥 ⁶ (2𝑥 ² − 12)

If one factor of 4x² + 6 is 2, what is the other factor?

• 2x + 3

• 4x + 6

• 2x + 6

• 2x² + 3

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

• Factoring

• Special Product

• Rationalization

• Continuous division

Write 12𝑥 ³𝑦 ⁵ − 20𝑥 ⁵𝑦 ² 𝑧 in complete factored form.

• 4𝒙 ^𝟑 𝒚 ^𝟐 (𝟑𝒚 ^𝟑 − 𝟓𝒙 ^𝟐𝒛)

• 4𝒙 𝒚 ^𝟐 (𝟑𝒚 ^𝟑 − 𝟓𝒙 ^𝟐𝒛)

• 4𝒙 ^𝟑 𝒚 (𝟑𝒚 ^𝟑 − 𝟓𝒙 ^𝟐𝒛)

• 4𝒙 ^𝟑 𝒚 ^𝟐 (𝟑𝒚 ^𝟑 − 𝟓𝒙 𝒛)

Tags

CCSS.7.EE.A.1

Write 12𝑥 ³ − 18𝑥𝑦 + 24𝑥 in complete factored form.

• 6𝒙 (𝟐𝒙 ^𝟐 − 𝟑𝒚 + 𝟒)

• 6𝒙 (𝟐𝒙 ³ − 𝟑𝒚 + 𝟒)

• 6𝒙 (𝟐𝒙 ^𝟐 − 𝟑𝒚 + 𝟒x)

• 6𝒙 (𝟐𝒙 ^𝟐 − 𝟑𝒚 − 𝟒)