Answer:
The rational zero of the polynomial are
.
Step-by-step explanation:
Given polynomial as :
f(x) = 4 x³ - 8 x² - 19 x - 7
Now the ration zero can be find as
,
where P is the constant term
And Q is the coefficient of the highest polynomial
So, From given polynomial , P = -7 , Q = 4
Now , 
I.e
=
Or, The rational zero are 
Hence The rational zero of the polynomial are
. Answer
<u><em>Answer:</em></u>
The shorter leg is
inches
<u><em>Explanation:</em></u>
The 30°-60°-90° is a special type of right-angled triangles
<u>It has the following special side length:</u>
The length of the side opposite to the 30° is
the length of the hypotenuse
The length of the side opposite to the 60° is
of the hypotenuse
<u>Now, we know that</u> the lengths of the sides in a triangle are proportional to the angles
<u>This means that</u> the shortest side will be the one opposite to the smallest angles
In our case, the shortest side will be the one opposite to the 30° angle
We are given that the hypotenuse of the triangle is
in
<u>From the above:</u>
Shorter leg = leg opposite to 30° =
inches
Hope this helps :)
(3/5 + -1/4)/(7/10)
get a common denominator of 20
3/5 * 4/4 =12/20
-1/4 * 5/5 = -5/20
7/10 *2/2 = 17/20
replace
(12/20 - 5/20)/(14/20)
add the top
(7/20)/(14/20)
copy dot flip
7/20 * 20/14
7/14
1/2
Well, when you factor out this polynomial, you get (x-2)(3x^2-4x-5).
I don't really know how that can help, but I tried. :/