Determine whether the polynomial below 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

Question

Determine whether the polynomial below 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

zale101 · Answer

16x^2 - 64x+64
Factor out  what's common.

anonymous · Answer

64? so. 16x^2 -x?

zale101 · Answer

16 is the common factor, right?

zale101 · Answer

16x^2 - 64x+64=0
16(x^2 - 4x+4)=0

zale101 · Answer

(x^2 - 4x+4) can you factor this further?

zale101 · Answer

Once you factor, you can know whether it can factor into perfect squares or not.

anonymous · Answer

It can't

zale101 · Answer

(a+b)^2= a^2+2ab+b^2
(a-b)^2=a^2-2ab+b^2

both of these are perfect squares, 
you have, can this be factored into a perfect square? 
(x^2 - 4x+4)
You can factor this, try it.

zale101 · Answer

Btw, is this your first time learning about factoring?