Final answer:
B) 2(5x + 2)(25x^2 + 10x + 4). The factored form of 250x² is 2(5x + 2)(25x² + 10x + 4).
Step-by-step explanation:
The factored form of 250x² is option B) 2(5x + 2)(25x² + 10x + 4).
To factor 250x², we first look for the greatest common factor (GCF). The GCF of 250 and x² is 2x². Divide 250x² by 2x² to get 125. Now we have 2x² * 125, which can be factored further as 2 * 5 * x * x * 5 * 5. Rearrange the terms to get 2 * 5 * x * 5 * x * 5, which simplifies to 2(5x)(5x + 2).