<em>Answer:</em>
<em>[-3,3]</em>
<em>Step-by-step explanation:</em>
<em>Write the problem as a mathematical expression.</em>
<em>4x^2+y^2=36</em>
<em>Subtract 4x^2 from both sides of the equation.</em>
<em>y^2=36-4x^2</em>
<em>Take the square root of both sides of the equation to eliminate the exponent on the left side.</em>
<em>y= + and - </em>
<em />
<em>The complete solution is the result of both the positive and negative portions of the solution.</em>
<em>y= </em>
<em />
<em />
<em />
<em>Set the radicand in </em>
<em> greater than or equal to 0 to find where the expression is defined.</em>
<em />
<em />
<em>So your answer would be [-3,3]</em>
The given trinomial can be factored using factorization as
x²+19x+84
=x²+12x+7x+84
=x(x+12)+7(x+12)
=(x+12)(x+7)
Thus x+12 and x+7 are the factors of the given trinomial. From these we can see x+12 is listed in option A.
So the answer to this question is Option A
Anything in absolute value signs like this |-1| is positive so it would be positive 1 instead of negative. For instead question one is -1. Hope this helps you!