Answer: [tex]y=(x+2)(x+5)[/tex]
Step-by-step explanation:
1. You have the following the quadratic equation given in the problem above:
[tex]y=x^{2}+7x+10[/tex]
2. To factor the quadratic function, you must find two number that when you add them you obtain 7 and when you multiply them you obtain 10. These numbers would be 2 and 5.
3. Therefore, keeping this on mind, you can rewrite the function in the following intercept form:
[tex]y=(x+2)(x+5)[/tex]
