SOLUTION: Find an nth-degree polynomial function with real coefficients satisfying the given conditions.
N=3
-4 and 8+2 are zeros
F(2)=240
Algebra.Com
Question 1129264: Find an nth-degree polynomial function with real coefficients satisfying the given conditions.
N=3
-4 and 8+2 are zeros
F(2)=240
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find an nth-degree polynomial function with real coefficients satisfying the given conditions.
N=3
-4 and 8+2i are zeros
F(2)=240
------
8-2i must also be a zero
-------
F(x) = a(x+4)(x-8-2i)(x-8+2i)
-------
F(x) = a(x+4)[(x-8)^2-(2i)^2]
F(x) = a(x+4)[x^2-16x+64+4]
F(x) = a(x+4)[x^2-16x+68]
-----
Solve for "a" using F(2) = 240
240 = a(2+4)(4-64+68)
240 = a*6*8
a = 240/48
a = 5
-------------
Ans:: F(x) = 5(x+4)(x^2-16x+68)
------------
Cheers,
Stan H.
----------
RELATED QUESTIONS
Find an nth degree polynomial function with real coefficients satisfying the given... (answered by josgarithmetic)
Find an nth-degree polynomial function with real coefficients satisfying the given... (answered by Edwin McCravy)
Find an nth degree polynomial function with real coefficients satisfying the given... (answered by stanbon)
Find an nth-degree polynomial function with real coefficients satisfying the given (answered by Fombitz)
find an nth degree polynomial function with real coefficients satisfying the given... (answered by RAY100)
Find an nth degree polynomial function with real coefficients satisfying the given... (answered by Fombitz)
find an nth degree polynomial function with real coefficients satisfying the given... (answered by drk)
Find an nth degree polynomial function with real coefficients satisfying the given... (answered by MathLover1)
Find the nth-degree polynomial function with real coefficients satisfying the given... (answered by josgarithmetic)