Question

The polynomial f(x) = x³ + 10x² + 27x + 10 has one integer root. what is it?

Answer 1

The integer root of the polynomial is x = -1.

Step-by-step explanation:

To find the integer root of the polynomial f(x) = x³ + 10x² + 27x + 10, we need to solve the equation f(x) = 0. One way to do this is by factoring the expression and setting each factor equal to zero.

We start by testing different integer values to see if they are roots of the polynomial using synthetic division or by substituting the values into the polynomial. After testing, we find that the polynomial has an integer root of x = -1.