WorksheetsFactoring by Greatest Common Monomial Factor
Total questions: 10
Worksheet time: 10mins
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)
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)
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)
