Will mark !
spencer is asked to factor the polynomial 256x^4 y^2-y^2completely over the integers. his work is shown below.
256x^(4)y^(2)=y^(2)(256x^(4)-1)y^(2)(256x^(4)-1)=y^2(16x^(2)+1)< br />did spencer factor the polynomial completely over the integers? why or why not?
a. spencer did factor the polynomial completely; he identified teh gcf and applied the difference of cubes method.
b. spencer did not factor the polynomial completely; 16x^(2)+1 can eb factored over the integers.
c. spencer did not factor the polynomial completely; 16x^(2)-1 can be factored over the integers.
d. spencer did factor the polynomial completely; he identified teh gcf and applied the difference of squares method.

False because C)

Step-by-step explanation:

Our original function is

The first step we go is to take as GCF and take it out of bracket

also and and

Hence we can write the above equation as

Now we apply the differences of the square in this which says

Again applying the differences of the square in the first factor we get

Hence

Hence

Spencer did not factor the polynomial completely over the integers because Spencer did not factor the polynomial completely; 16x^(2)-1 can be factored over the integers.

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.

i believe a. 12x≥120 is the answer