### Home > CCA2 > Chapter 8 > Lesson 8.3.2 > Problem8-143

8-143.

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

1. $y = x^3 + 1$

The parent graph is $y = x^3$. How is it shifted?

This 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.

1. $y = x^3 - 8$

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