Question

Determine whether the polynomial is a perfect square and if it is, factor it.



n2 – 9n + 9



A.


is a perfect square: (n – 3)2


B.


is a perfect square: (n – 9)2


C.


is a perfect square: (n + 3)2


D.


is not a perfect square

Answer 1

A perfect square is a number that is the product of two equal integers

Answer 2

Since you can't factor it, this is not a perfect square

Answer 3

\(b^{2} - 4ac = (-9)^{2} - 4(1)(9) = 9(9 - 4) = 45 \ne 0\)

If you don't get zero (0), it's not a perfect square.