A student factors 3x2 – 12 to the following. 3(x2 – 4) Which statement about 3(x2 – 4) is true? A. The expression is equivalent, and it is completely factored. / B.The expression is equivalent, but it is not completely factored./ C. The expression is not equivalent, but it is completely factored./ D.The expression is not equivalent, and it is not completely factored.
Answer:
Option B is correct that is the expression is equivalent, but it is not completely factored.
Step-by-step explanation:
We have given an expression
\(3x^2-12\)
when we take the common factor out which is 3 from the expression we will get
\(3(x^2-4)\)
This expression is equivalent but is not completely factored because the term
\((x^2-4)\text{can be further factored as}(x-2)\text{and}(x+2)\text{from the formula}a^2-b^2=(a+b)(a-b)\)
Hence, Option B is correct.
Option C and D are discarded because given factor is equivalent
Option A is discarded because expression is not completely factored.