Question

use a graphing calculator and a system of equations to find the roots of the equation.

\\x^4 - 4x^3 = 6x^2 - 12x\\

from least to greatest, what are the integral roots of the equation?

-2 and 0

what are the approximate values of the non-integral roots of the polynomial equation?

-5.57
-1.95
0.21
1.27
4.73

Explanation:

Set up the polynomial equation

$$
LATEXBLOCK0
$$

Factor the polynomial to find the integral roots

$$
LATEXBLOCK1
$$

Solve the remaining quadratic equation for non-integral roots

$$
LATEXBLOCK2
$$

Answer:

Question 1

From least to greatest, what are the integral roots of the equation?
<blank>-2</blank> and <blank>0</blank>

Question 2

What are the approximate values of the non-integral roots of the polynomial equation?

• -5.57
• -1.95
• 0.21
• 1.27 (Correct answer)
• 4.73 (Correct answer)