F(x)=x^5 + 5*x^4 - 5*x^3 - 25*x^2 + 4*x + 20
By examining the coefficients of the polynomial, we find that
1+5-5-25+4+20=0 => (x-1) is a factor
Now, reverse the sign of coefficients of odd powers,
-1+5+5-25-4+20=0 => (x+1) is a factor
By the rational roots theorem, we can continue to try x=2, or factor x-2=0
2^5+5(2^4)-5(2^3)-25(2^2)+4(2)+20=0
and similarly f(-2)=0
So we have found four of the 5 real roots.
The remainder can be found by synthetic division as x=-5
Answer: The real roots of the given polynomial are: {-5,-2,-1.1.2}
Y is the variable in the equation.
Answer:
The length of the bridge is 126.492 feet.
Step-by-step explanation:
Let 
, where 
is the position from the middle of the bridge, measured in feet, and 
is the height of the bridge at a location of x feet, measured in feet. In this case, the length of the bridge is represented by the distance between the x-intercepts of the parabola, which we now find by factorization:
(Eq. 1)
Given that the parabola is symmetrical with respect to y-axis, then the length is two times the magnitude of the value found above, that is:
The length of the bridge is 126.492 feet.
Answer:1/(3+x)=(1/3)
1
(1−(−x/3))
1/(3+x)=(1/3)1(1−(−x/3))
Use this fact that
1/(1−t)=
∑
∞
0
t
n
(∗)
1/(1−t)=∑0∞tn (∗)
where
|t|<1
|t|<1
. I mean take
t=−x/3
t=−x/3
and...
Note that
|−t|=|t|<1
|−t|=|t|<1
is the radius of convergence
Step-by-step explanation:
