53.8k views
1 vote
How many roots, real or complex, does the polynomial 7 + 5x* - 3z? have in all?

1 Answer

5 votes

Answer:

One.

Explanation:

This polynomial has only one variable, which is x*. We can treat z and 7 as constants. Therefore, the polynomial is linear and can be written as:

5x* + c

where c = 7 - 3z.

A linear polynomial has either one root (when the coefficient is non-zero) or zero roots (when the coefficient is zero). Therefore, the given polynomial has exactly one root, which is:

x* = -c/5 = -(7 - 3z)/5 = (3z - 7)/5

User Steel Plume
by
7.5k points

No related questions found