What missing number would complete the factorization
z^2-2z-48=(z-8)(z+?)
z+6
Explanation:
To find the missing number, we need to look at the constant term in the quadratic equation z^2 - 2z - 48. The constant term is -48.
The missing number in the factorization (z-8)(z+?) must multiply to the constant term -48 and add up to the middle term -2z.
The factors of -48 that add up to -2 are -8 and 6. Therefore, the missing number is 6.
So, the complete factorization is (z-8)(z+6).