Question

Factor completely: 4x2 + 25x + 6

(4x + 1)(x + 6)

(4x + 6)(x + 1)

(2x + 3)(2x + 2)

(2x + 6)(2x + 1)

Answer 1

I would solve this by first multiplying the last 6 by the first 4 to get \[x^2+25x+24\] This has roots that are 4 times bigger than the original equation.

Answer 2

First one is the right answer :)

Answer 3

Then, you can factor that to get the roots are -1 and -24, these are 4 times bigger so the roots of the original equation are -1/4 and -6.
So the factorization is \[(4x+1)(x+6)\]