Answer:
3. [tex]x^2-10x+25=0[/tex]
Step-by-step explanation:
All the polynomials in the given option are quadratic.
By the fundamental theorem of algebra, the quadratic polynomial has two roots.
Since the solution set is given as {5}, the quadratic has a repeated root.
In other words the root has a multiplicity of 2.
Hence we have the equation:
[tex]x=5[/tex], multiplicity 2
This implies that;
[tex](x-5)^2=0[/tex]
We expand to obtain;
[tex]x^2-5x-5x+25=0[/tex]
[tex]x^2-10x+25=0[/tex]
The correct choice is the third option.
