Answer:
x1= 1/2,
x2= -1,
x3= -4
Hence, choose option 3,4, and 5
Step by Step :
x²(2x-1)+5x(2x-1)+4(2x-1)=0
Factor out 2x-1
(2x-1)(x²+5x+4)=0
The Product of 2 numbers that add up to 5 and multiply to give 4 are 1 and 4. hence the quadratic expression can be factoriized as:
(2x-1)(x+1)(x+4)=0
when the product of factors is zero atleast one factor is zero.
2x-1=0
x+1=0
x+4=0
solve for x:
x1= 1/2
x2= -1
x3= -4