Question

Spencer is asked to factor the polynomial 256x^4y^2−y^2 completely over the integers. His work is shown below.

Answer 1

Answer:

Option B, Spencer did not factor the polynomial completely; 16x^2−1 can be factored over the integers.

Step-by-step explanation:

Step 1:  Factor

256x^4y^2−y^2

y^2(256x^4 - 1)

y^2(16x^2 - 1)(16x^2 + 1)

y^2(4x + 1)(4x - 1)(16x^2 + 1)

Answer:  Option B, Spencer did not factor the polynomial completely; 16x^2−1 can be factored over the integers.

Answer 2

Answer:

answer B

Step-by-step explanation: