How many more unit tiles must be added to the function f(x)=x2−6x+1 in order to complete the square?

Step-by-step explanation:

Function given is . We wish to add more unit tiles to the function so that it becomes a complete square.

Since the given function is of order 2, the side of the square will be order 1. Let us assume a general order 1 expression  to be the side of the square.

As the function forms the square after adding some  unit tiles,

From comparison,

8 more unit tiles are required to complete the square.

Step-by-step explanation:

f(x)=x²-6x+1

x²-6x+9=x²-2×x×3+3²=(x-3)²

so if we add 8 unit tiles ,the square is complete.