Please see figure for answers
As per Descartes Theorem, a polynomial of degree n (n is the highest exponent of a polynomial) has n roots (or number of zeros) be it positive, negative, real or complex.
in f(x) = x⁶ + x⁵ + x⁴ + 4x³ − 12x² + 12, the highest degree is 6, then it has
a total of 6 zeros, positive, negative, real or complex.
It is the symmetric property
5(c + ⁴/₅) + 6 = 50
5(c) + 5(⁴/₅) + 6 = 50
5c + 4 + 6 = 50
5c + 10 = 50
<u> - 10 - 10</u>
<u>5c</u> = <u>40</u>
5 5
c = 8