Answer:
D. -4x²(4x² +8x +20)
Step-by-step explanation:
You want to factor the expression -16x⁴ -32x³ -80x².
We observe that 16 and x² are common factors of the terms. None of the answer choices has 16 as a leading factor, so we have ...
[tex]-16x^4 -32x^3 -80x^2 = -16x^2(x^2 +2x +5)\\\\ = \boxed{-4x^2(4x^2+8x+20)\qquad\text{matches choice D}}[/tex]
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Additional comment
Choice C is also a correct factorization. Another factor of x can be removed from inside parentheses, as can another factor of 4.