Answer:
(4x + 1)(x + 6).
Step-by-step explanation:
[tex]4x^{2} +25x+6[/tex]
We multiply and divide by the coefficient of x^2
[tex]\frac{16x^{2} +25(4x)+24}{4}[/tex]
Then, factorize the numerator searching two numbers that multipied are 24 and added are 25, in this case 24 and 1.
[tex]\frac{(4x+24)(4x+1)}{4}[/tex]
Finally, we simplify the left factor with 4
[tex]\frac{(x+6)(4x+1)}{4}[/tex].
