Question

Factor the expression completely
7x+7x^3+x^4+x^6

Answer 1

Hi,

Explanation:

`7x+7x^3+x^4+x^6\\=x(7+7x^2+x^3+x^5)\\=x(7(1+x^2)+x^3(1+x^2))\\=x(x^2+1)(x^3+7)\\=x(x^2+1)(x+\sqrt[3]{7} )(x^2-\sqrt[3]{7}*x+\sqrt[3]{49}) \\`

If you want the factorisation in C, say it.