Question

x² + 3x - 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 x term). The numbers are 5 and -2 since \(5\times(-2)= - 10\) and \(5+( - 2)=3\).

Step2: Factor the quadratic

Using the numbers found, we can factor the quadratic \(x^{2}+3x - 10\) as \((x + 5)(x - 2)\).

Answer:

\((x + 5)(x - 2)\)