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 hope this helps you




4x^2+25x+6



4x +1


x +6



(4x+1)(x+6)

Answer 2

(4x + 1)(x + 6).

Explanation:

`4x^(2) +25x+6`

We multiply and divide by the coefficient of x^2

`(16x^(2) +25(4x)+24)/(4)`

Then, factorize the numerator searching two numbers that multipied are 24 and added are 25, in this case 24 and 1.

`((4x+24)(4x+1))/(4)`

Finally, we simplify the left factor with 4

`((x+6)(4x+1))/(4)`.