Which of the following is a factor of f(x) = 7x³ - 22x² - 67x + 10?
(x + 5), (x - 5), (x + 1 /5), (x - 1 /5)

Solution:

Given function, f(x) = 7x³ - 22x² - 67x + 10

By synthetic division method,

(i) For (x + 5)

Therefore, (x + 5) is not a factor.

(ii) For (x - 5)

Therefore, (x - 5) is a factor

(iii) (x + 1/5)

Therefore, (x + 1/5) is not a factor

(iv) (x - 1/5)

Therefore, (x - 1/5) is not a factor.

Here, the factor of f(x) = 7x³ - 22x² - 67x + 10 is (x - 5)

Which of the following is a factor of f(x) = 7x³ - 22x² - 67x + 10?

Summary:

(x - 5) is a factor of f(x) = 7x³ - 22x² - 67x + 10.