Question

Use long division to find the quotient of (5x⁵ - 90x² - 135x) divided by (x - 3).

a. 5x⁴ + 15x³ - 45x² - 45x
b. 5x⁴ - 5x³ + 25x² - 45x
c. 5x⁴ + 5x³ - 25x² - 45x
d. 5x⁴ - 15x³ + 45x² - 45x

Answer 1

To find the quotient of (5x⁵ - 90x² - 135x) divided by (x - 3), use long division to divide each term of the dividend by the divisor and subtract the results.

Step-by-step explanation:

To find the quotient of (5x⁵ - 90x² - 135x) divided by (x - 3) using long division, follow these steps:

1. Divide the first term of the dividend (5x⁵) by the divisor (x).
2. Multiply the quotient (5x⁴) by the divisor (x - 3) and subtract the result from the dividend (5x⁵ - 90x²).
3. Bring down the next term of the dividend (-135x).
4. Repeat steps 1 and 2 until all terms have been divided.
5. The final quotient is 5x⁴ + 15x³ - 45x² - 45x.