If one factor of x2 + 2x – 24 is (x+6), what is the other factor? (x+8) (x–8) (x+4) (x−4)

x-4

Step-by-step explanation:

We want to find b so that the following is true for all x:

Let's choose a x to plug in to solve for b:

Let x=0:

Divide both sides by 6:

So the factored form is (x+6)(x-4).

If you don't like this just find two numbers that multiply to be -24 and at the same time add up to be 2.  You can do this when you are factoring quadratics with leading coefficient 1.  Quadratics look like ax^2+bx+c and I'm talking about with special case a=1.

So the two numbers you should have came up with is 6 and -4 since 6(-4)=-24 and 6+(-4)=2.

So the factored form is (x+6)(x-4).

We already have the first factor (x+6) given.

(x-4) is therefore the other factor we are looking for.

Last Option

Step-by-step explanation:

For a quadratic function of the form the factors of the function will be of the form:

Where h and w are two numbers which, when added together, result in b, and when multiplying h * w, it results in c.

In this case the quadratic function is:

Then:

We know that . and

So

Finally the factors are:

29.5977692753

step-by-step explanation: