SOLUTION: Hello! Please help me figure this out..I am just learning about polynomials. The examples in my book don't seem to help me with this problem. Could you explain to me how I would wr
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Question 73796This question is from textbook Algebra 2
: Hello! Please help me figure this out..I am just learning about polynomials. The examples in my book don't seem to help me with this problem. Could you explain to me how I would write this function?
Write a polynomial function of least degree with integral coefficients whose zeros include 4 and 2i. This question is from textbook Algebra 2
You can put this solution on YOUR website! Write a polynomial function of least degree with integral coefficients whose zeros include 4 and 2i.
:
We have:
x = 4, therefore one of the factors is (x-4)
Also
x = 2i
same as:
x = Sqrt(-4)
Square both sides:
x^2 = -4
:
x^2 + 4 = 0
:
Our equation has factors: (x-4)(x^2 + 4)
FOIL this:
x^3 + 4x - 4x^2 - 16
or
x^3 - 4x^2 + 4x - 16, the normal order
:
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