Question

Is it possible to factor `y=x^4 + 27x`? If so, what are the factors?

Answer 1

Yes `y=x^4+27x=x(x+3)(x^2-3x+9)`

Explanation:

`y=x^4+27x`

= `x(x^3+27)`

= `x(x^3+3x^2-3x^2-9x+9x+27)`

= `x(x^2(x+3)-3x(x+3)+9(x+3))`

= `x(x+3)(x^2-3x+9)`