Factor the trinomal below below x^2 + 5x - 24

Step-by-step explanation:

When I began factoring, I used the AC method (from the form Ax^2+Bx+C).

First, I multiplied the A and C terms, so you would multiply the 1 and -24 to get -24.

Now you need to find factors that multiply to get -24 and see if the sum of any of the pairs gets B, the middle term, 5.

These factor pairs include: 1, -24; 2, -12; 3, -8; 4, -6; 6, -4; 8, -3; 12, -2; 24, -1.

The sums of the pairs are as follows: -23, -10, -5, -2, 2, 5, 10, 23.

Since the 8, -3 pair multiplies to get -24, and adds up to 5, your factors are (x+8)(x-3).

Just to be safe multiply it out to check your work.

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!