Question

Choose one of the factors of 24x6 – 1029y3

3

2x2 – 7y

4x4 + 14x2y + 49y2

All of the above

Answer 1

All of the above are factors of the given polynomial.

Answer 2

Answer:

Option D

Step-by-step 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.