Mathematics, 14.03.2020 00:18 Rosy1234Locks
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)< br />
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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