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 - 3)

(x - 1)

(x + 2)

(x + 3)

Question

Mathematics

Alfred Hammond

13 September, 08:50

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 - 3)

(x - 1)

(x + 2)

(x + 3)

+5

Answers (1)

Know the Answer?

Jordan Newton · Answer 1

To determine the root of the polynomial given, by trial and error we substitute each option given to the x-value of the polynomial and see which of the options results to zero. In this case, the factor of the polynomial f (x) = x3 + 6x2 + 12x + 35 is (x+5)

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 - 3)(x - 1)(x + 2)(x + 3)

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 - 3)

(x - 1)

(x + 2)

(x + 3)