Determine if the polynomial (16x^4 - 24x^2 + 9) is a perfect square.

Question

Accepted Answer

Step:1 ：First, let&#x27;s rewrite the polynomial as ((4x^2)^2 - 2(4x^2)(3) + (3)^2).Step:2 ：This is the form of ((a-b)^2 = a^2 - 2ab + b^2).Step:3 ：In this case, (a = 4x^2) and (b = 3).Step:4 ：Therefore, the polynomial can be written as ((4x^2 - 3)^2).

Answer

Step: 1 ：First, let&#x27;s rewrite the polynomial as ((4x^2)^2 - 2(4x^2)(3) + (3)^2).Step: 2 ：This is the form of ((a-b)^2 = a^2 - 2ab + b^2).Step: 3 ：In this case, (a = 4x^2) and (b = 3).Step: 4 ：Therefore, the polynomial can be written as ((4x^2 - 3)^2).

Determine if the polynomial \(16x^4 - 24x^2 + 9\) is a perfect square.

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