Question

For what value of \( m \), \( -4 \) is one of the zeros of the polynomial \( x^2 - x - (2m+2) \)?

• A. \( 7 \)
• B. \( 8 \)
• C. \( 9 \)
• D. \( 5 \)

Hint:

Substituting given zeros into the equation helps find unknown coefficients. This is a useful method for determining the value of \( m \) in polynomial equations.

Answer 1

The Correct Option is C

If \( -4 \) is a root, then substituting it into the equation:
\[ (-4)^2 - (-4) - (2m+2) = 0. \] \[ 16 + 4 - 2m - 2 = 0. \] \[ 18 - 2m = 0. \] \[ 2m = 18 \quad \Rightarrow \quad m = \frac{18}{2} = \] Thus, the correct value of \( m \) is \( 9 \).