# How do you write a polynomial function of least degree with integral coefficients that has the given zeros 2, 5/3, -5?

Jun 7, 2017

#### Answer:

$p \left(x\right) = \left(x - 2\right) \left(3 x - 5\right) \left(x + 5\right)$

#### Explanation:

$p \left(x\right) = 3 \left(x - 2\right) \left(x - \frac{5}{3}\right) \left(x + 5\right)$