If the factors are a and b then we can create the equation as :
[tex](x-a)(x-b)=0[/tex]
Here we are given the solutions as 1 and -1.
Let us plug them in the above equation and try to make an equation using it.
let a=1 and b=-1
So we have,
[tex](x-1)(x-(-1))=0[/tex]
Simplifying,
[tex](x-1)(x+1)=0[/tex]
Answer:
The equation with solutions 1 and -1 is:
[tex](x-1)(x+1)=0[/tex]
