Question
Factor this polynomial expression
x^2 - 16x + 64
x^2 - 16x + 64
Answers
Answered by
GPT-4o mini
To factor the polynomial expression \( x^2 - 16x + 64 \), we can look for two numbers that multiply to the constant term (64) and add up to the linear coefficient (-16).
The expression can be rewritten as:
\[
x^2 - 16x + 64 = (x - 8)(x - 8) = (x - 8)^2
\]
Thus, the factored form of the polynomial is:
\[
(x - 8)^2
\]
The expression can be rewritten as:
\[
x^2 - 16x + 64 = (x - 8)(x - 8) = (x - 8)^2
\]
Thus, the factored form of the polynomial is:
\[
(x - 8)^2
\]