Answer :
Answer:
(x + 2)(x + 7)
Step-by-step explanation:
To factor a quadratic equation you have to figure out what factors of 14 equal 9 when they are combined. To do this, let's first find all of the factors of 14.
1 * 14 = 14
1 and 14 don't work because 1 + 14 [tex]\neq[/tex] 9 and -14 + (-1) [tex]\neq[/tex] 9
2 * 7 = 14
This works because 2 + 7 = 9.
Now we can move on to factoring the equation.
Both of the xs are positive because the x in the quadratic form has a positive coefficient.
The 2 and the 7 are also both positive because the 9 is positive.
So, we end up getting:
(x + 2) (x + 7)
We can check to make sure this is correct by turning it back into a quadratic equation:
x * x = x^2
x * 7 = 7x
x * 2 = 2x
2 * 7 = 14
x^2 + 7x + 2x + 14
Combine like terms, and you get the original quadratic equation:
x^2 + 9x + 14
Hope this helps!