Part 1: Explain, in complete sentences, whether or not the polynomial x2 – 16x + 64 fits one of the special patterns. If so, which one?

Explain how the polynomial is factored.

Provide the factors.

Question

Part 1: Explain, in complete sentences, whether or not the polynomial  x2 – 16x + 64 fits one of the special patterns. If so, which one?

Explain how the polynomial is factored.

Provide the factors.

anonymous · Answer

special patterns? could you elaborate on that?

anonymous · Answer

(x-8)^2

anonymous · Answer

its is a perfect square binomial, because each of the coefficients is the perfect square of a number

anonymous · Answer

yes, it fits the $$(x-a)^{2}$$ pattern

anonymous · Answer

these are all correct, I can concur with everyone.

anonymous · Answer

small note, it doesnt matter that the middle coefficient is a perfect square.  

$$x^2+6x+9=(x+3)^2$$

anonymous · Answer

what if you didn't have and middle coefficient, or something other than 6x, than it would matter

anonymous · Answer

but in order to have it be a perfect square, the middle coefficient divided by two and then squared has to equal the "C" value.

anonymous · Answer

this is how you sometimes solve quad.'s by "completing the square"

anonymous · Answer

right.

anonymous · Answer

Thank u all :)