Question

What is the factorized form of 4x^2+12x+5

Answer 1

Here, we can use factoring decomposition; determine two values in which the product is 20 and the sum is 12. They are 2 and 10, so split 12x into 2x and 12x! 

4x² + 2x + 10x + 5 = 0 

Factor like terms.. 

2x(2x + 1) + 5(2x + 1) = 0 

Group the common factors of 2x + 1 and collect the terms.. 

(2x + 1)(2x + 5) = 0 

Finally, by zero-product property: 

2x + 1 = 0 and 2x + 5 = 0 
2x = -1 and 2x = -5 
x = {-½, -5/2} 

I hope this helps!