Question

the binomial (a+5) is a factor of $a^2+7a+10$. what is the other factor?
○ (a+2)
○ (a+5)
○ (a−2)
○ (a−5)

Explanation:

Step1: Factor the quadratic

To factor \(a^2 + 7a + 10\), we need two numbers that multiply to \(10\) and add to \(7\). The numbers are \(5\) and \(2\). So, \(a^2 + 7a + 10=(a + 5)(a + 2)\).

Step2: Identify the other factor

Given one factor is \((a + 5)\), the other factor is \((a + 2)\).

Answer:

A. \((a + 2)\)