Which factored form equals 6x^5 + 3x^2?
A3x^2(2x^3 + 1)
B3x^2(2x^5 + 1)
C3x^2(2x^2 + 1)
D6x^2(x^3 + 1)
Answer & Solution
Correct answer: A. 3x^2(2x^3 + 1)
1. The common factor of 6x^5 and 3x^2 is 3x^2.
2. Dividing gives 6x^5 / 3x^2 = 2x^3 and 3x^2 / 3x^2 = 1, so the form is 3x^2(2x^3 + 1).
3. The other choices expand to different expressions, such as 6x^7 + 3x^2.
_Source: Wikipedia, Elementary algebra, Simplifying expressions_
Keep practising Algebra
Browse all Algebra questions for CTET, or explore more Mathematics topics.
Related questions
Find x when 2(x + 3) = 20.What value of x makes x / 4 + 2 = 6 true?If 3x - 7 = 11, what is x?In algebra, the statement a < b is read asGroups, rings and fields are studied in which branch of algebra?If a = 3 and b = 2, what is the value of a^2 + b?Find the value of 3x^2 when x = 2.Using s = 60 × m, how many seconds are in m = 5 minutes?