Asked by grace
third degree with zeros of 2-i,2+i and 2 and a leading coefficient of 4. Construct a polynomial function with stated properties
Answers
Answered by
Reiny
let's start with the two complex zeros
sum of roots = 2-i + 2+i = 4
product of roots = (2-i)(2+i) = 4 - i^2 = 5
so the quadratic that would form those two zeros is
x^2 - 4x + 5
your function will be
f(x) = 4(x - 2)(x^2 - 4x + 5)
expand and simplify if you have to.
sum of roots = 2-i + 2+i = 4
product of roots = (2-i)(2+i) = 4 - i^2 = 5
so the quadratic that would form those two zeros is
x^2 - 4x + 5
your function will be
f(x) = 4(x - 2)(x^2 - 4x + 5)
expand and simplify if you have to.
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