Find an nth-degree polynomial function with real coefficients satisfying the given conditions. n = 3; 4 and 2 *i* are zeros; f(2) = -16

9514 1404 393

  f(x) = x^3 -4x^2 +4x -16

Step-by-step explanation:

If 2i is a zero, then its conjugate, -2i, is also a zero. When p is a zero, then (x-p) is a factor. For the three given zeros, the factors are ...

  f(x) = (x -4)(x -2i)(x +2i)

  f(x) = (x -4)(x^2 +4)

  f(x) = x^3 -4x^2 +4x -16 . . . . . . multiplied out to standard form

Now, f(2) = (2 -4)(2^2 +4) = (-2)(8) = -16. This is the required value, so we're done.*

  f(x) = x^3 -4x^2 +4x -16

* If the required value were something else, then we would have to multiply the f(x) we found by some factor to make the value of f(2) come out right. That factor would be ...

  k = (desired f(2))/(f(2) for our function so far)

In this case, ...

  k = -16/-16 = 1

the camry sales+accord sale=828,000. to make it so the two numbers are 18 thousand apart and still equal 828,000, you first need to find out what half of 828,000 is. 828,000/2=414,000. for the two numbers to equal 828,000, you have to add the same amount as you subtract from the middle. in this case, the number is 9,000 because it's half of 18,000. to equal 828,000, you have to add 9,000 to 414,000 for the camry and subtract 9,000 from 414,000 for the accord. 414,000+9,000=423,000.

414,000-9,000=405,000.

423,000+405,000=828,000.

423,000-405,000=18,

hope it