Factor the polynomial completely. P(x) = x^5 + 11x^3 P(x) =

Question

already tried x^3(x^2+11)

Answer 1

Your factoring was correct. However, if it is desired to factor the polynomial into monomials using complex or irrational roots, you need to keep going with the x^2 + 11 term; nothing can be done with the x^3 term unless the homework is expecting you to write this as x * x * x

x^2 + 11 = (x + √11 i)(x - √11 i)

Then, depending on what the assignment is looking for, the answer is either x^3(x + √11 i)(x - √11 i) or

x*x*x*(x + √11 i)*(x - √11 i)