Answer:
P(x) = x^4 -16x^3 +76x^2 -72x -100
Step-by-step explanation:
The two roots 1-√3 and 1+√3 give rise to the quadratic factor ...
... (x -(1-√3))(x -(1+√3)) = (x-1)^2 -(√3)^2 = x^2 -2x -2
The complex root 7-i has a conjugate that is also a root. These two roots give rise to the quadratic factor ...
... (x -(7 -i))(x -(7 +i)) = (x-7)^2 -(i)^2 = x^2 -14x +50
The product of these two quadratic factors is ...
... P(x) = (x^2 -2x -2)(x^2 -14x +50) = x^4 +x^3(-14 -2) +x^2(50 +28 -2) +x(-100+28) -100
... P(x) = x^4 -16x^3 +76x^2 -72x -100
Answer:
Step-by-step explanation:
The zeros are the values of x for which y = 0
Quadratic formula
x = [5 ± √(5² – 4·1·6)] / [2·1]
= [5 ± √1] / 2
= [5 ± 1] /2
= 2, 3
sum of zeros = 5
Answer:
20 hours.
Step-by-step explanation.
The total distance traveled was 400 miles. Then I divided 400 by 20. I got 20.
Answer: C. 1/8
Step-by-step explanation:
2/16 were pepperoni at pizza hut the first time,
then simplifying 2/16 = 1/8 = 1/8 chance.
Answer:
Step-by-step explanation:
Second hand on a clock rotates at rate 360 degrees per 60 seconds.
360 degrees - 60 sec
x degrees - 15 sec
90 clockwise rotation (none hand of a clock rotates counter-clockwise :))