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:
Hey!
The car travelled 135 kilometers!
Step-by-step explanation:
Here you have to do the speed (45km/h) multiplied by the time (3 hours)
45 x 3 = 135
So the car has travelled 135 kilometers!
HOPE THIS HELPS!!
Answer:
22,000
Step-by-step explanation:
4%/100=0.04
0.04*50,000=20,000 || 130,000-50,000=80,000 ||
2%/100=0.02
0.02*100,000= 2,000 || 80,000 - 100,000 ||
To explain it simply, Rosie receives 20,000 in commission for the first 50,000 of the sale. However, she sold a property for 130,000 meaning she also receives 2,000 for the next 100,000. Therefore she receives $22,000 in total on her $130,000 sale.
The most simplified version would be:
Given:
The equation is:
Find-:
Binomials factor of the equation
Explanation-:
The quadratic equation,
Solve for factor
Then the factor is:
So, the factor is x + 4
