Cliek 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 completely, then place the answer in the proper location on the grid
2107.57a+ 30
123456789

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Explanation:

I'll use the variable x in place of 'a'

The expression we need to factor is which is in the form

So,

We'll plug those three values into the quadratic formula

The two roots of are

The root x = 2 leads to the factor (x-2) after subtracting 2 from both sides.

The root leads to the factor (7x-5) after first multiplying both sides by 7, and then subtract 5 from both sides.

So we have this set of steps:

The two factors are (x-2) and (7x-5).

This leads to (x-2)(7x-5)

The last step is to replace x with 'a' so that the variables match up.

We arrive at  (a-2)(7a-5)

However, as the next section shows, we have a bit of a problem. Don't worry, it can be easily fixed.

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Let's expand out that factored expression we found earlier.

That's not good. We should have arrived at the original expression . To fix this discrepancy, we can stick a 3 out front and then notice that:

The error has been fixed.

We have the full factorization of 3(a-2)(7a-5)

The order of the factors doesn't matter, so we could have written the answer as 3(7a-5)(a-2). Usually the factor without any variables will be listed first.

Based on the screenshot you posted, if that '7' is locked in place, then the only possible answer is 3(7a-5)(a-2) since you'll have 3 in the first slot, then a ( in the next slot. The other slots are filled out in a similar manner. There are no spaces between any symbol or letter.

25/14 or 1.

step-by-step explanation:

the dots mean that it has infinitely more numbers behind it