Question

Which of the following expresses the possible number of positive Icai

solutions for the polynomial equation shown below?
5x° + x2 - 7x+ 28 = 0
O A. Zero
B. One
C. Two or zero
D. Three or one

Answer 1

9514 1404 393

Answer:

C. Two or zero

Explanation:

The signs of the polynomial terms are: + + - +.

There are two sign changes, one from + to -, and the other from - to +. The two sign changes means the number of positive real roots will be a maximum of 2. Any even number of roots may be complex, so will not be real. That is, the number of positive real roots may be 2 or 0.