Polynomial Functions

Question

Find all real zeros of the following functions (no complex numbers). Remember, if there is no constant with which to use the rational zero test, factor out a zero first, then proceed.

A. f(x) = x^3 -6x^2 + 11x - 6

B. f9X0 = x^3 -9x^2 + 27x -27

C. f(x) = x^3 -9x^2 + 20x -12

D. f(x)= x^4 - 7x^2 +12

E. f(x) = x^5 - 7x^4 + 10x^3 + 14x^2 - 24x

F. f(x) = x^4 - 13x^2 -12x

Answer 1

Have you tried using the rational zero test on any of these functions?

Answer 2

A.) 1, 2, 3

B.) 3

C.) 1, 2, 6

D.) -2, -1.732050, 1.732050, 2

E.) 1.4142135, 3, 4, -1.4142135

F.) -3, -1, 0, 4