Question

If one zero of the polynomial \( p(x) \) is 5, then one factor of \( p(x) \) is:

• A. \( x - 5 \)
• B. \( x + 5 \)
• C. \( \frac{1}{x - 5} \)
• D. \( \frac{1}{x + 5} \)

Hint:

By the factor theorem, if \( \alpha \) is a zero of the polynomial \( p(x) \), then \( x - \alpha \) is a factor of \( p(x) \).

Answer 1

The Correct Option is A

If 5 is a zero of the polynomial \( p(x) \), then by the factor theorem, \( x - 5 \) must be a factor of \( p(x) \). Thus, the correct factor is \( \boxed{x - 5} \).