Question

Hey! I need help This is from my ACT prep guide * I tried completing this problem and my answer is 3 roots but I’m not sure if I’m correct.. *

Answer 1

3 roots.

Explanation:

To determine how many roots a polynomial has, you have to look at the term with the highest exponent. That exponent is how many roots the polynomial will have.

Then, for:

`0=x^2(x+3)^4(x-1)`

Since this polynomial is factored already equalizing 0, we can see that there are three roots:

`\begin{gathered} x=0 \\ x+3=0 \\ x-1=0 \end{gathered}`