the binomial (a + 5) is a factor of a²+7a + 10. what is the other factor?\n(a + 2)\n(a + 5)\n(a - 2)\n(a - 5)

the binomial (a + 5) is a factor of a²+7a + 10. what is the other factor?\n(a + 2)\n(a + 5)\n(a - 2)\n(a - 5)

the binomial (a + 5) is a factor of a²+7a + 10. what is the other factor?\n(a + 2)\n(a + 5)\n(a - 2)\n(a - 5)

Answer

Explanation:

Step1: Factor the quadratic expression

We need to factor (a^{2}+7a + 10). We look for two numbers that multiply to (10) (the constant term) and add up to (7) (the coefficient of the middle - term). The numbers are (2) and (5) since (2\times5 = 10) and (2 + 5=7). So, (a^{2}+7a + 10=(a + 2)(a+5)).

Answer:

A. ((a + 2))