Question

Two roots of the polynomial function

f(x) = x3 − 7x − 6 are −2 and 3.

Use the fundamental theorem of algebra and the complex conjugate theorem to determine the number and nature of the remaining root(s). Explain.

Answer 1

if a is a root then (x-a) is a factor

Answer 2

the highest exponent of the variable will indicate the number of roots for that polynomial