## Solmyr 2 years ago Factor completely: 4x2 + 25x + 6 (4x + 1)(x + 6) (4x + 6)(x + 1) (2x + 3)(2x + 2) (2x + 6)(2x + 1)

1. ash2326

@Solmyr Did you try this?

2. Solmyr

sadly no cause i have no idea of how to do it

3. Solmyr

i was looking for someone to show me how to do it

4. ash2326

Ok, I'll explain you

5. ash2326

General quadratic equation \[ax^2+bx+c=0\] Here we have \[4x^2+25x+6\] So what's a , b and c here?

6. Solmyr

a=4 b=25 c=6

7. ash2326

Good, first step is to find the product of a and c What is it here?

8. Solmyr

4*6=24

9. ash2326

Now b is 25 here Can you find factors of 24, which add up or subtract to form 24 ?

10. Solmyr

2,4,6,8

11. Solmyr

12

12. ash2326

Let me rephrase it, 2 factors of 24 which add up or subtract to form 25?

13. Solmyr

im not sure

14. ash2326

Check if 24 and 1 satisfy that??

15. Solmyr

ok i guess it does

16. ash2326

so write 25x as 24x and 1x

17. Solmyr

ok

18. Solmyr

i have to do something ill brb

19. ash2326

\[4x^2+24x+x+6=0\]

20. Solmyr

im back