Find (x^3+7x^2-16x-112) / (x+4) using synthetic division.

The sign that go in the expression is - "+ +"

Step-by-step explanation:

Given - XCIX = LV _ XXXIII  _ XI

To find - i need to know what signs go where is it "+ +" or "- +"  or "+ -" or "- +" ???

Proof -

We know that from the table that,

XCIX = 99

LV = 55

XXXIII  = 33

XI = 11

So,

The equation becomes

99 = 55 _ 33 _ 11

Now,

If we put + + then the equation becomes

99 = 55 + 33 + 11

⇒99 = 99

It satisfies.

Now,

If we put - + then the equation becomes

99 = 55 - 33 + 11

⇒99 = 33

It does not satisfies.

Now,

If we put + - then the equation becomes

99 = 55 + 33 - 11

⇒99 = 77

It does not satisfies.

So,

The sign that go in the expression is - "+ +"