Answer:
Factor 1 is (x-4) and Factor 2 is (x-4).
Step-by-step explanation:
From the given geometric model it clear that we have 1 box of x², 8 boxes of -x and 16 boxes +. So, the perfect square trinomial represented by the given geometric model is
[tex]x^2-8x+16[/tex]
It can be rewritten as
[tex]x^2-2(4)x+4^2[/tex]
Using formula of perfect square trinomial, we get
[tex](x-4)^2[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex](x-4)(x-4)[/tex]
Therefore the Factor 1 is (x-4) and Factor 2 is (x-4).
