Question

Determine whether the polynomial is a perfect square and if it is, factor it. n2 – 6n + 9

a. is not a perfect square (n+3)^2
b. is not a perfect square
c. is a perfect square (n-3)^2
d. is a perfect square (n-6)^2

Answer 1

n^2 – 6n + 9 = (n - 3)^2
answer
c. is a perfect square (n-3)^2

Answer 2

It is a perfect square...

n^2-3n-3n+9

n(n-3)-3(n-3)

(n-3)(n-3)

(n-3)^2

It is a perfect square (n-3)^2