Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Factor this expression completely and then place the factors in the proper location on the grid. Note: Place factors alphabetically in the grid!

ab + 2a + 3b + 6

these are very hard to me..

Answer 1

this is the chart that I have to fill out

Answer 2

So from what I can tell, the factors for this function are in terms of binomials, which are seemingly in the form of quadratic functions. Notice that the first term that multiplies together would be the two letters combined. In order for this to work, the quadratic must have both letters be multiplied to each other, like (a)(b). However, we're not done yet, as we haven't accounted for the rest of the terms yet. In order to get 2a, we need to make a binomial where the product is ab and the sum of the product is 2a. Since we only have 1 a variable, the only way to get 2a is to multiply by 2 by a to get 2a. And to get 3b, we follow the same principle. In order to get 6 as the last factor, notice how we have 3 and 2 as factors. Those multiplied together get the product of 6. Therefore, the factored out version of this polynomial is (a+3)(b+2).