Which of the following is a factor of 24x6 - 1029y3?

24

2x2 + 7y

4x4 + 14x2y + 49y2

All of the above

The answer to your question is only the second and the third are factors.

Step-by-step explanation:

Find the factors of 24x⁶ - 1029y³

First find the prime factors of 24 and 1029

24 2 1029 3

12 2 343 7 Then 24 = 2³3

6 2 49 7 1029 = 7³ 3

3 3 7 7

1 1

x⁶ = (x²) ³ y³ = y³

Then

2³3 (x²) ³ - 7³ 3 y³

Factor 3 3[ 2³ (x²) ³ - 7³ y³]

Factor 3 [ (2x² - 7y) (4x⁴ + 14x²y + 49y²) ]

Then

24

2x2 + 7y

4x4 + 14x2y + 49y2

All of the above