### Home > A2C > Chapter 10 > Lesson 10.2.5 > Problem10-128

10-128.

The roots of a polynomial are given below. Find two linear factors and the corresponding quadratic factor.

1. $x = - 2 + \sqrt { 3 } , x = - 2 - \sqrt { 3 }$

Use the Zero Product Property.

$0=(x-(-2+\sqrt{3}))(x-(-2-\sqrt{3}))$

$0=(x+2-\sqrt{3})(x+2+\sqrt{3})$

$y = x^{2} + 4x + 1$

1. $x = - 2 + i , x = - 2 - i$

Use the same process as in part (a).