How do I factor x^2+2x-24?

Answer 1

Firstly, the quadratic function should have two factors. Therefore you will start with writing ''( )( )''.

Next, you know that x^2 is equals to x mutiply by x. So, you can fill it into the brackets like this ''(x )(x )''.

After which, think of how 24 can be formed. There are plenty of method (e.g. 2x12, 3x8 , 4x6 ). However, there's normally only one that fits. For you to choose the right one, look at the numeral in front of x. In this question it is 2. So we pick 4 x 6 as the difference between 4 and 6 is 2. And we can fill in the brackets like this ''(x 4)(x 6)''.

To know what signs to put, we have to look at the sign in front of the number 2. It is a positive sign and so, the answer should be like this, ''(x-4)(x+6)''. At the same time, we should check if it is correct, when we use -4 x 6, it is equals to -24 which is the same as the question.

Hence, the answer should be (x-4)(x+6).

I hope it helped. Good luck!

Answer 2

x^2 + 2x - 24

Find the factors of -24 which when you added them will give you the middle term of - 2

Factors of -24
1) 1 and -24 => 1 + (-24) = -23 NO
2) -1 and 24 => -1 + 24 = 23 NO
3) 3 and -8 => 3 + (-8) = - 5 NO
4) -3 and 8 => -3 + 8 = 5 NO
5) -2 and 12 => -2 + 12 = 10 NO
6) 2 and -12 => 2 + (-12) = -10 NO
7) 4 and - 6 => 4 + (-6) = - 2 NO
8) -4 and 6 => -4 + 6 = 2 YES

x^2 + 2x -24 = ( x -4) ( x + 6)

Answer 3

x^2 + 2x - 24
(x + 6)(x - 4)

Answer 4

(x+6) (x-4)

Answer 5

you need to find two numbers that multiply to 24 and (as the value is -ve differ by two with the larger number being positive.

(x-4)(x+6)

Answer 6

(x-4)(x+6)

Answer 7

(x+6)(x-4)

Next!