Factor $-16x^4+x^2+2x+1$ into two quadratic polynomials with integer coefficients. Submit your answer in the form $(ax^2+bx+c)(dx^2+ex+f)$, with a
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-16x^4 + x^2 + 2x + 1
x^2 + 2x + 1 - 16x^4 factor the first trinomialas a perfect square
(x + 1)^2 - 16x^4 factor as a difference of squares
[ (x + 1) - 4x^2 ] [ (x + 1) + 4x^2]
[ -4x^2 + x + 1 ] [ 4x^2 + x + 1 ]