Question

Find a rational zero of the polynomial function and use it to find all the zeros of the function. f(x) = x^4 + 3x^3 - 5x^2 - 9x - 2

Answer 1

try f(-1) ...so if f(-1) = 0 then x = -1 is a rational zero...

this uses the rational zero theory..... p/q

p = factors of the constant

q = factors of the leading term

Answer 2

to find all the zeros... use synthetic division or polynomial division