Question

Explain, in complete sentences, how you would factor 8x6 – 56x3 + 98.

Provide the factors.

Answer 1

2(2x^3+7)^2

So what we have here if we work from factored form out is:
2*(2x^3+7)(2x^3+7)
Ignore the outside 2 for now.

2x^3 * 2x^3 = 4x^6
2x^3 * 7 = 14x^3
7 * 2x^3 = 14x^3
7 * 7 = 49
So we have:
2 * (4x^6 + 14x^3 + 14x^3 + 49)
Distributing the two gives us:
8x^6 + 2*(28x^3) + 98
which is:
8x^6 + 56x^3 + 98.
Which is your original problem.
I like to plug these into my calculator and work them backwards.
Hope this helps.

Answer 2

Thank u