Factoring the following quadratic:
(10 Points)
x^2 + 9x + 14

(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 9 and -14 + (-1) 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!

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted

abde or 1,2,4, 5 is the answer

step-by-step explanation: