Question

factor completely.
( h^2 + 3h - 10 )

Explanation:

Step1: Find two numbers

We need two numbers that multiply to \(-10\) (the constant term) and add up to \(3\) (the coefficient of the middle term). The numbers are \(5\) and \(-2\) since \(5\times(-2)= - 10\) and \(5+( - 2)=3\).

Step2: Factor the quadratic

Using the numbers from Step 1, we can factor the quadratic \(h^{2}+3h - 10\) as \((h + 5)(h-2)\).

Answer:

\((h + 5)(h - 2)\)