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Gekata [30.6K]
4 years ago
11

Determine whether the polynomial below can be factored into perfect squares. If so, factor the polynomial. Otherwise, select tha

t it cannot be factored into a perfect square.

Mathematics
1 answer:
Natasha2012 [34]4 years ago
6 0

Answer:

C. (4x-8)^2

Step-by-step explanation:

We need to determine whether the given polynomial 16x^2-64x+64 can be factored into perfect squares. If so, factor the polynomial. Otherwise, select that it cannot be factored into a perfect square.

16x^2-64x+64

=16x^2-32x-32x+64

=16x(x-2)-32(x-2)

=(16x-32)(x-2)

=16(x-2)(x-2)

=16(x-2)^2

=4^2(x-2)^2

=(4(x-2))^2

=(4x-8)^2

Hence final answe is choic C. (4x-8)^2

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