### Home > INT3 > Chapter 10 > Lesson 10.3.2 > Problem10-173

10-173.

Write a polynomial function of degree four with roots $x = 2, x = –5$, and $x = 4 ± i$. Express your answer in standard form.

$f\left(x\right) = x^{4} − 5x³ − 17x² + 131x − 170$