### Instruction: What is the sum of the squares of the coefficients of $4(x^4 + 3x^2 + 1)$?### Response: I need to find the squares of the coefficients of the polynomial, which are the numbers that multiply the powers of $x$.
The coefficients are 4, 12, and 4, because I can rewrite the polynomial as $4x^4 + 12x^2 + 4$.
The squares of these numbers are 16, 144, and 16.