Answer:
The complete factored form of the equation is (x + 6)(x + 4).
Step-by-step explanation:
The first step in factoring this quadratic equation is to multiply the first term by the last term. Our first term is x² and our last terms is 24. Since x² does not have a coefficient, then we assume this number to be 1.
1 × 24 = 24
The next step is to find two factors that multiply together to get 24 and adds together to get our middle term which is 10.
Two factors that best show this is 4 and 6. So, let's plug them into our equation. Replace 10x with 4x + 6x.
x² + 4x + 6x + 24
Now, we group our first two terms together and our last two terms together.
(x² + 4x) + (6x + 24)
Next, we take the greatest common factor of each parentheses and factor them.
x(x + 4) + 6(x + 4)
Lastly, we factor the equation. You can know that you have factored the equation correctly when you have the same term in both parentheses.
So, the complete factor of the equation is (x + 6)(x + 4).
