Is the Trinomial a Perfect Square? Yes. Factored Expression: (k - 8)^2
Practice makes perfect
To determine if an expression is a perfect square trinomial, we need to ask ourselves three questions.
Is the first term a perfect square?
k^2= k^2 colIIâś“
Is the last term a perfect square?
64= 8^2 colIIâś“
Is the middle term twice the product of 8 and k?
16k=2* 8* k colIIâś“
As we can see, the answer to all three questions is yes! Therefore, we can write the trinomial as the square of a binomial. Note there is a subtraction sign in the middle.
k^2 - 16k + 64 ⇔ ( k- 8)^2
