86.8k views
2 votes
Simplify
(4x⁵-7x²-8x³-4)/(2x³)

User Ingo Mi
by
8.6k points

1 Answer

7 votes

Final answer:

The expression (4x⁵-7x²-8x³-4)/(2x³) is simplified by dividing each term in the numerator by 2x³, resulting in the simplified form 2x² - 7/(2x) - 4.

Step-by-step explanation:

To simplify (4x⁵-7x²-8x³-4)/(2x³), we need to perform polynomial division by dividing each term in the numerator by 2x³. This process involves using the Division of Exponentials rule, where we divide the coefficient (number) of each term by 2 and subtract the exponents of the x terms in the numerator by 3 (the exponent in the denominator).

  • 4x⁵ divided by 2x³ is 2x²
  • 7x² divided by 2x³ becomes -7/(2x)
  • 8x³ divided by 2x³ is -4

By following these steps, we get the simplified expression 2x² - 7/(2x) - 4, since the '4' at the end of the original numerator has no 'x' to divide by 2x³ and hence, gets subtracted directly.

User Tudvari
by
8.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories