Mathematics, 28.01.2020 20:59 sydmarie02
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. write the polynomial in standard form. 2,5-i
Answers: 1
![f(x)= (x-2)[x-(5-i)][x-(5+i)]\\\\f(x) = (x - 2)[(x-5)+ i][(x-5)- i)\\\\f(x)= (x - 2)[(x-5)^2 - i^2]\\\\f(x)=(x - 2)(x^2 - 10x + 25 + 1)\\\\f(x)= (x - 2)(x^2 - 10x + 26)\\\\f(x) = x^3 - 10x^2 + 26x - 2x^2 + 20x-52\\\\f(x)=x^3 - 12x^2 + 46x - 52](/tpl/images/0478/5132/68154.png)
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