Answer:
x−2x4+2x3−7x2−8x+12=x3+4x2+x−6
The rational root theorem suggests that other possible roots may be -6, 6, -3, 3, -2, 2, -1, and 1. It turns out that x=-2x=−2 is a root, since (-2)^3+4(-2)^2+(-2)-6=0(−2)3+4(−2)2+(−2)−6=0 , so x+2x+2 is also a factor and we have
\dfrac{x^4+2x^3-7x^2-8x+12}{(x-2)(x+2)}=x^2+2x-3(x−2)(x+2)x4+2x3−7x2−8x+12=x2+2x−3
Finally, we can factorize the remaining quotient easily:
x^2+2x-3=(x+3)(x-1)x2+2x−3=(x+3)(x−1)
so the other factors are x+2x+2 , x+3x+3 , and x-1x−1 .
Intersecting is where two lines cross at any angle.
Perpendicular means two lines cross at exactly a 90-degree angle
Parallel indicates that the two lines have the same slope and never cross.
The greatest whole possible whole number length of the unknown side is 9 inches.
<h3>How to identify if a triangle is acute?</h3>
Let us have:
H = biggest side of the triangle
And let we get A and B as rest of the two sides.
Then we get:
If

then the triangle is acute
Two sides of an acute triangle measure as 5 inches and 8 inches
The length of the longest side is unknown.
We have to find the length of the unknown side
WE know that the longest side of any triangle is a hypotenuse
For an acute triangle we know:

Here in this sum,
a = 5 inches
b = 8 inches
c = ?
Substituting we get,

c < 9
Hence, The greatest whole possible whole number length of the unknown side is 9 inches.
Learn more about angles;
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★ QUADRATIC RESOLUTION ★
Roots of the given equation will be imaginary because it's discriminant is less than 0 and hence it'll yield imaginary solutions
D < 0
b² - 4ac < 0
4² - 4 ( 5 ) < 0
16 - 20 < 0
-4 < 0
Hence it's character is stated above
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I believe that it is just a square room, either that or he isn’t good at measuring