Prove the Root Theorem: For any f(x) ∊ F[x] and any a∊F, f(a)=0 if and only if x-a is a factor of f(x).

Find the domain of the function: f(x) O All Real Numbers O {x\ x=4} Ο Ο Ο O {x|x = 4, x= 3} O (X1X=3) 3} x2 - 5x+6 x² - 7x+12

If f(c) f(x) for all x in the domain of f, then f(c) is called the [Select] ✓ of f.

Use Descartes Rule to determine which of the following is a possible number of solutions for the function f(x) = x³ – 2x² +x – 1 Select all that apply: 1 3 positive, 0 negative, and 0 imaginary 2 1 positive, 2 negative, and 0 imaginary 3 2 positive, 1 negative, and 0 imaginary 4 1 positive, 0 negative, and 2 imaginary 5 0 positive, 3 negative, and 0 imaginary 6 0 positive, 1 negative, and 2 imaginary