Final answer:
To find the other factor of the quadratic equation a^2 + 3a - 10 when one factor is known to be a - 2, we can divide the quadratic by this factor revealing that the other factor is a + 5.
Step-by-step explanation:
If a - 2 is one of the factors of a2 + 3a - 10, finding the other factor involves factorizing the quadratic equation completely. Since we know one factor, we can divide the quadratic by that factor to find the other.
Dividing a2 + 3a - 10 by a - 2, we get the other factor:
(a2 + 3a - 10) / (a - 2) = a + 5
So, the quadratic equation can be expressed as (a - 2)(a + 5). Therefore, the other factor of the quadratic equation is a + 5.