Home › STAAR EOC Algebra I › Mathematics › Factoring › What is the completely factored form of 12x - 60?
What is the completely factored form of 12x - 60?
A12(x-48)
B12(x+5)
Cx(12-60)
D12(x-5)
Answer & Solution
Correct answer: D. 12(x-5)
1. Find the GCF of 12x and 60, which is 12.
2. Rewrite each term as a product using the GCF: 12x is 12 times x, and 60 is 12 times 5.
3. Factor to get 12(x - 5).
4. Check by multiplying: 12 times x minus 12 times 5 gives back 12x - 60.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 7 "Factoring", section 7.1 Greatest Common Factor and Factor by Grouping_
Related questions
Factor: x^3 + 64.According to the Sum and Difference of Cubes Pattern, how does a^3+b^3 factor?Factor completely: 36x^2y - 48xy + 16y.Factor completely: 8x^2y - 98y.Factor completely: 6x^2 + 96.What happens when you try to factor a sum of squares like a^2 + b^2?What is the completely factored form of x^4 - y^4?Factor: 100 - h^2.