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lexieprochaskaaa
02.04.2020 •
Mathematics
Build a polynomial function having real coefficients with degree = 3 and zeros x = -7 and x = 3i. Write your answer in the form f (x) = ax3 + bx2 + cx + d . (8 pts.)
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Ответ:
∴f(x)![=x^3-7x^2+9x-63](/tpl/images/0577/1173/8c3c1.png)
Step-by-step explanation:
Given that, a polynomial of real coefficient with degree 3.
x= -7 and x= -3i are two zeros of the given polynomial.
Conjugate Root Theorem:
The conjugate root theorem state that, if the complex number a+bi is a zero of a polynomial f(x) with real coefficient in one variable, then the complex conjugate a-bi is also a zero of that polynomial.
∴f(x)
= {x-(-7)}(x-3i){x-(-3i)}
=(x-7)(x-3i)(x+3i)
=(x-7){x²-(3i)²}
=(x-7)(x²-9i²)
=(x-7)(x²+9)
∴f(x)![=x^3-7x^2+9x-63](/tpl/images/0577/1173/8c3c1.png)
Ответ:
It's 3
Step-by-step explanation:
The data has outliers.