Answer:
f(x) = 
is the required polynomial.
Step-by-step explanation:
Given the zeroes (roots) of the polynomial are 
and 
.
We know that complex roots occur in conjugate pairs.
So, this means that 
and 
would also be the roots of the polynomial.
If 
are to be the roots of the polynomial then the polynomial should have been: 
.
Now, to determine the polynomial for which 
would be the roots.
Roots of the polynomial are nothing but the values of x (any variable) that would make the polynomial zero.
⇒ 
⇒ 
The required polynomial would be the product of all the above polynomials.
Multiply this to get the required equation.
⇒
∴ The required polynomial is x⁴ - 2x³ + 49x² - 18x + 360 = 0.
45 degrees, you are cutting the right angle in half
B and c are the speeds of the boat (in still water) and the current.
Traveling with the current, the boat goes b+c km per hour.
1 hour * (b+c km)/hour = 15 km
b+c = 15
Traveling against the current, the boat goes b-c km per hour.
3 hours * (b-c km)/hour = 15
b-c = 5
Add the two equations
b = 10 km per hour
Answer:
-1
Step-by-step explanation:
The y-intercept is where the line crosses the y-axis.
Domain is the x values. for example, you had cordinate points (1,3)(2,6)(3,9). The Domain is 1,2,3 Range is your y values. using the same coordinates, your range would be 3,6,9
