Factor the polynomial, if possible. If the polynomial cannot be factored,
write prime.
n^2-16n+64
Factor the polynomial If the polynomial cannot be factored, write prime.?
2010-01-11 2:43 pm
回答 (6)
2010-01-11 2:47 pm
✔ 最佳答案
n^2 - 16n + 64= n^2 - 8n - 8n + 64
= (n^2 - 8n) - (8n - 64)
= n(n - 8) - 8(n - 8)
= (n - 8)(n - 8)
= (n - 8)^2
2010-01-11 3:48 pm
in this case the polynomial can be factored
n^2-16n+64
(n-8)^2
n=8 twice
n^2-16n+64
(n-8)^2
n=8 twice
2010-01-11 2:52 pm
factorising n^2 - 16n + 64,
it can be written as
(n)^2 - 2 * 8 n + (8)^2
using the identity a^2 - 2*a*b + b^2 = (a-b)^2
=>(n-8)^2
= (n-8)(n-8)
you can also call n^2 - 16n + 64, and 1 to be its factor.
hope it helps
it can be written as
(n)^2 - 2 * 8 n + (8)^2
using the identity a^2 - 2*a*b + b^2 = (a-b)^2
=>(n-8)^2
= (n-8)(n-8)
you can also call n^2 - 16n + 64, and 1 to be its factor.
hope it helps
2010-01-11 2:48 pm
(n-8)^2
2010-01-11 2:47 pm
n^2-16n+64 = (n - 8)^2 = (n - 8)*(n - 8)
2010-01-11 2:47 pm
This is a perfect trinomial square. (n-8)²
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