Factorization is a method of writing numbers as the product of their factors or divisors.
When the factors of a number are multiplied together, they give the original number.
Normally factorization is done by using prime factorization method.
By using the method of factorization(prime factorization), 21 can be written as 21 = 3 × 7.
25p3 + 10p2 can be factorized as 5p2(p + 2).
A. 24(x - 3) (x + 3)
B. 24(x + 3)
C. 25(x - 3)2
D. 24(x - 3)2
Correct Answer: D
Step 1: 24x2 - 144x + 216 [Original expression.]
Step 2: = 24[x2 - 6x + 9] [Take out common factor.]
Step 3: = 24[(x)2 - 2(x)(3) + (3)2] [Write as (a2 - 2ab + b2).]
Step 4: = 24[(x - 3)2] [Write as (a - b)2.]