Which of the following expresses the possible number of positive real
solutions for the polynomial equation shown below?
5x3 + x2 + 7x – 28 = 0
A. One
B. Two or zero
C. Two
D. Three or one

Which of the following expresses the possible number of positive real solutions for the polynomial equation shown below 5x3 x2 7x 28 0 A One B Two or zero C Two class=

Respuesta :

Answer:

  • A. One

Step-by-step explanation:

Look at the last term, - 28.

It means, the product of roots is a positive number (28).

The polynomial is a degree three so it has 3 possible roots.

Positive product can be obtained if all 3 numbers are positive or 2 negative and 1 positive.

Therefore number of positive roots is one or three.

Further, double check using the graphical solution (see attached), it shows one root only. It means the other roots are complex.

Correct option is A

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