Spencer is asked to factor the polynomial 256x^4y^2-y^2 completely over the integers. His work is shown below.
256x^4 y^2-y^2=y^2 (256x^4-1)
y2 (256x^4-1) = y^2 (16x^2-1) (16x^2+1)
Did Spencer factor the polynomial completely over the integers? Why or why not?
a. Spencer did factor the polynomial completely; he identified the GCF and applied the difference of squares method.
b. Spencer did not factor the polynomial completely; 16x^2-1 can be 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 the GCF and applied the difference of cubes method.
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