Answer:
b.
Step-by-step explanation:
We have to look at sign changes in f(x) to determine the possible positive real roots.

There is only one sign change here, between the -8x and the +4. So that means there is only 1 possible real positive root.
Now we have to look at sign changes in f(-x) to determine the possible negative real roots.

There are 3 sign changes here. That means there are either 3 negative roots or 3-2 = 1 negative root. So we have:
1 positive
3 or 1 negative
We need to pair them up now with all the possible combinations.
If we have 1 positive and 1 negative, we have to have 2 imaginary
If we have 1 positive and 3 negative, we have to have 0 imaginary
Keep in mind that the total number or roots--positive, negative, imaginary--have to add up to equal the degree of the polynomial. This is a 4th degree polynomial, so we will have 4 roots.
Yes it is if the word problem applies to or is about math
<span>Simplifying
X2 + -4 = 0
Reorder the terms:
-4 + X2 = 0
Solving
-4 + X2 = 0
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + X2 = 0 + 4
Combine like terms: -4 + 4 = 0
0 + X2 = 0 + 4
X2 = 0 + 4
Combine like terms: 0 + 4 = 4
X2 = 4
Simplifying
X2 = 4
Take the square root of each side:
X = {-2, 2}</span>
Answer:
retype the question or send a picture please