6a² - 23a - 4
If your answer choices are:
A) (6a - 1)(a + 4)
B) (6a + 1)(a - 4)
C) (6a+ 4)(a - 1)
Then all you have to do is simplify them & see which one equals 6a² - 23a - 4
Let's look at A first.
a) (6a - 1)(a + 4)
Simplify.
6a² + 24a - a - 4
Simplify.
6a² + 23a - 4
So, A) is incorrect.
B) (6a + 1)(a - 4)
Simplify.
6a² - 24a + a - 4
Simplify.
6a² - 23a - 4
So, B) (6a + 1)(a - 4) is CORRECT.
Just in case, let's check C.
C) (6a + 4)(a - 1)
Simplify.
6a² - 6a + 4a - 4
Simplify.
6a² - 2a - 4
So, C is incorrect.
Therefore, B) (6a + 1)(a - 4) is CORRECT
~Hope I helped!~