The general form of a polynomial is: x² + bx + c = 0. Substituting the roots,
3² + b(3) + c = 0
3b + c = -9 --> eqn 1
(5 + √5)² + (5 +√5)(b) + c = 0
(5+√5)b + c = -30-10√5 --> eqn 2
Solving both equations simultaneously by subtracting eqn 2 from eqn 1,
(-2 - √5)b = 21 + 10√5
b = -8 - √5
Using eqn 1,
3(-8 - √5) + c = -9
-24 - 3√5 + c = -9
c = -9 + 24 + 3√5
c = 15 + 3√5
Hence, the polynomial is: <em>f(x) = x² + (-8 - √5)x + (15 + 3√5)</em>.
Answer:
3^16
Step-by-step explanation:
See The image below for steps:)
Based on the fact that Tim forgot to refuel the vehicle and the amount per gallon at the rental place, Tim will have to pay an extra amount of d. <u>$57.88.</u>
<h3>How much will Tim pay?</h3>
According to the conditions, Tim will have to pay for the complete refueling of the car should he forget to refuel. He will also have to pay a $5.00 refueling fee.
The car is almost empty which means he will also pay for the entire capacity of the car.
The amount Tim will pay is:
= (Cost per gallon x Total fuel capacity) + Refueling fee
= (4.50 x 11.75) + 5
= $57.88
In conclusion, option D is correct.
Find out more on car rental repayments at brainly.com/question/6034138.
