Answer:
x=-1/2
Step-by-step explanation:
Given:
8x^3+12x^2+6x+1=0
Making factors of the given polynomial by using cube formula, given as
(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3
Re-writting the given polynomial:
(2^3.x^3) + 3(2^2.x^2)(1)+3(2x)(1) + (1^3)=0
Hence (2^3.x^3) + 3(2^2.x^2)(1)+3(2x)(1) + (1^3) can be written as (2x+1)^3
(2x+1)^3= 0
2x+1= 0
2x= -1
x= -1/2 !
