### Home > INT3 > Chapter 8 > Lesson 8.3.2 > Problem8-119

8-119.

Sketch the graph of each polynomial function below and identify all of the zeros.

1. $y = x^{3} + 1$

1. $y = x^{3} - 8$

These are both cubic functions, shifted vertically.

Each function has one $x$-intercept, which is a zero of the function. Divide the polynomial by the associated factor to obtain a quadratic factor. Then use the Quadratic Formula to obtain the other two (complex) zeros.

$x=2, -1\pm i\sqrt{3}$