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}
Answer:
x=1 or x=−9
Step-by-step explanation:
Let's solve your equation step-by-step.
x(x+8)=9
Step 1: Simplify both sides of the equation.
x2+8x=9
Step 2: Subtract 9 from both sides.
x2+8x−9=9−9
x2+8x−9=0
Step 3: Factor left side of equation.
(x−1)(x+9)=0
Step 4: Set factors equal to 0.
x−1=0 or x+9=0
x=1 or x=−9
Answer: The decimal 0.88888.... represented by the fraction 
Step-by-step explanation:
Since we have given that
0.888888....
So, Let x = 0.88888....=
-----(1)
Now, multiply by 10 on both sides, we get that

Now, Subtracting (1) from (2), we get that

Hence, the decimal 0.88888.... represented by the fraction 
Option 1: $50
Option 2: $12.50 per hour.
50 ÷ 12.50 = 4
Paul can choose the hourly wage if he works more than 4 hours.
For example, he works 5 hours.
12.50 x 5 hours = 62.50
$62.50 is higher than the fixed rate of $50. Thus, hourly wage is the better option.