Question

Choose one of the factors of 24x6 – 1029y3

3

2x2 – 7y

4x4 + 14x2y + 49y2

All of the above

Answer 1

Option D

Explanation:

We have to factorize the expression given

`(24x^(6)-1029y^(3))`

We will take the common 3 out of this expression =
`3(8x^(6)-343x^(3))`

Now we can rewrite the expression as
`3[(2x^(2))^(3)-(7x)^(3)]`

As we know the formula [(
`(a^(3)-b^(3))=(a-b)(a^(2)+ab+b^(2))`]

Now convert our expression in this form

`3[(2x^(2) -7x)(4x^(4)+49x^(2) +14x^(3))]`

Therefore, factors will be 3, (2x² -7x) and
`(4x^(4) +49x^(2) +14x^(3))`

Option D all of the above is the answer.

Answer 2

All of the above are factors of the given polynomial.