### Home > A2C > Chapter 12 > Lesson 12.2.1 > Problem12-88

12-88.

Find a polynomial function of degree four with roots: $x=−1,3,\pm\sqrt{5}$

Use the roots and the Zero Product Property to write an equation in factored form, then simplify.

$P\left(x\right) = \left(x + 1\right)\left(x − 3\right)\left(x^{2} − 5\right) = ?$