Question

For two polynomials $$f(x)$$ and $$g(x)$$, $$(x - a)$$ and $$(x - b)$$ are their respective factors. Which of the following is true?

Options

• $$f(a) + g(b) = 1$$

• $$f(a) + g(b) = a - b$$

• $$f(a) + g(b) = 0$$

• $$f(a) + g(b) = a + b$$

Answer 1

f(a) + g(b) = 0

Explanation:

By the Factor Theorem, $$f(a)=0$$ and $$g(b)=0$$, so their sum is zero.