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:

If \( r \) is a zero of a polynomial, then \( (x - r) \) is a factor.

Answer 1

The Correct Option is A

If 5 is a root, then the polynomial must have a factor of the form:
\[ x - \text{root} = x - 5. \]