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Asked Sep 27, 2019

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O POLYNOMIAL AND RATIONAL FUNCTIONS
Finding a polynomial of a given degree with given zeros: Comple...
Find a polynomial f(x) of degree 4 with real coefficients and the following zeros.
2, -1, 3-i
?
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O POLYNOMIAL AND RATIONAL FUNCTIONS Finding a polynomial of a given degree with given zeros: Comple... Find a polynomial f(x) of degree 4 with real coefficients and the following zeros. 2, -1, 3-i ?

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Step 1

Consider a polynomial of degree 4.

4
f(x)= ax bx2 + cx2+d where a,b,c.d are real numbers
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4 f(x)= ax bx2 + cx2+d where a,b,c.d are real numbers

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Step 2

The zeros of this functi...

2,-1,3i since complex roots are in conjugate.
therefore,fourth root is 3 i
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2,-1,3i since complex roots are in conjugate. therefore,fourth root is 3 i

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