Final answer:
To factor out the greatest common factor of the polynomial 4d³ – 8d², divide both terms by the highest power of d that they have in common, which is d². The factored form of the polynomial is d²(4d – 8).
Step-by-step explanation:
To factor out the greatest common factor of 4d³ – 8d², we need to find the highest power of d that both terms have in common. In this case, both terms have a d² factor, so we can factor it out. 4d³ – 8d² = d²(4d – 8). We can simplify this further by dividing both terms by the d² factor, which gives us: d²(4d – 8) = 4d³ – 8d². Therefore, the factored form of the polynomial is d²(4d – 8).