Question

Select the correct answer from the drop-down menu. Find the polynomial. {5} is the solution set of.

Answer 1

Answer:

3. $x^2-10x+25=0$

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:

$x=5$, multiplicity 2

This implies that;

$(x-5)^2=0$

We expand to obtain;

$x^2-5x-5x+25=0$

$x^2-10x+25=0$

The correct choice is the third option.