Given the binomials (x - 1), (x - 3), (x + 3), and (x + 5), which one is a factor of f(x) = x3 + 6x2 + 12x + 35?

(x - 1)

(x - 3)

(x + 3)

(x + 5)

Question

Given the binomials (x - 1), (x - 3), (x + 3), and (x + 5), which one is a factor of f(x) = x3 + 6x2 + 12x + 35?

(x - 1)

(x - 3)

(x + 3)

(x + 5)

campbell_st · Answer

use the factor theorem

is you know the binomials then you know the possible zeros 

x = 1, 3, -3 and -5

so to find the factor substitute the possible zero... 

so find f(1), f(3) f(-3) f(-5) 

the one that equals zero will give you the binomial that is a factor