5 MINUTE TIME LIMIT LEFT Consider the polynomial expression below. x^(3) -3x^(2) +81x-243 Rewrite the polynomial in the form (x - d)(x - e)(x + f), where d is a real number and …

Question

5 MINUTE TIME LIMIT LEFT Consider the polynomial expression below.


`x^(3) -3x^(2) +81x-243`


Rewrite the polynomial in the form (x - d)(x - e)(x + f), where d is a real number and e and f are complex numbers of the form bi.

Answer 1

`x^3-3x^2+81x-243=\\x^2(x-3)+81(x-3)=\\(x^2+81)(x-3)=\\(x-3)(x-9i)(x+9i)`