the binomial (a + 5) is a factor of ( a^{2}+7a + 10 ). what is the other factor?\n( (a + 2) )\n( (a + 5)…

Explanation:

Step1: Factor the quadratic expression

For a quadratic expression (x^{2}+bx + c), we need to find two numbers (m) and (n) such that (m + n=b) and (m\times n = c). For (a^{2}+7a + 10), we need to find two numbers (m) and (n) such that (m + n=7) and (m\times n=10). The numbers are (m = 5) and (n=2) since (5 + 2=7) and (5\times2 = 10). So, (a^{2}+7a + 10=(a + 5)(a+2))

Answer:

((a + 2))