A student factors 10x2 + 3x – 27 to the following.

(2x – 3)(5x + 9)

Which statement about (2x – 3)(5x + 9) is true?

Question

A student factors 10x2 + 3x – 27 to the following.

(2x – 3)(5x + 9)

Which statement about (2x – 3)(5x + 9) is true?

Mercury · Answer

choices:
A.The expression is equivalent, but 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,but it is not completely factored

Mercury · Answer

there are two things we need to consider:

- are the expressions equivalent?
to figure this out, simply use FOIL to expand  (2x – 3)(5x + 9), and see if it is equal, or not, to 10x^2 + 3x – 27

- is (2x – 3)(5x + 9) completely factored? are there any GCFs that can be factored out from (2x-3) or (5x+9)?