Question

If one zero of the polynomial \( q(x) \) is -3, then one factor of \( q(x) \) is:

• A. \( x - 3 \)
• B. \( x + 3 \)
• C. \( \frac{1}{x - 3} \)
• D. \( \frac{1}{x + 3} \)

Hint:

If \( r \) is a root of a polynomial \( p(x) \), then \( (x - r) \) is always a factor of \( p(x) \).

Answer 1

The Correct Option is B

If \( x = -3 \) is a root, then \( (x + 3) \) must be a factor of \( q(x) \), because any polynomial having root \( r \) has a factor \( (x - r) \).