Let g(x) be a polynomial with leading coefficient 1, whose three roots are the reciprocals of the three roots of f (x) = x* + ax² + bx + c, where 1

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Let g(x) be a polynomial with leading coefficient 1, whose three roots are the reciprocals of the three roots of<br>f (x) = x* + ax² + bx + c, where 1 < a << b< c. What is g(1) in terms of a,b, and c?<br>1+a + b+c<br>(A)<br>1+a+b+c<br>(B) 1+ a + b+c<br>с<br>c2<br>a +b+c<br>(D)<br>1+ a +b+c<br>(E)<br>c2<br>а +b+c<br>

Extracted text: Let g(x) be a polynomial with leading coefficient 1, whose three roots are the reciprocals of the three roots of f (x) = x* + ax² + bx + c, where 1 < a=""><>< c.="" what="" is="" g(1)="" in="" terms="" of="" a,b,="" and="" c?="" 1+a="" +="" b+c="" (a)="" 1+a+b+c="" (b)="" 1+="" a="" +="" b+c="" с="" c2="" a="" +b+c="" (d)="" 1+="" a="" +b+c="" (e)="" c2="" а="">

Jun 05, 2022

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Let g(x) be a polynomial with leading coefficient 1, whose three roots are the reciprocals of the three roots of f (x) = x* + ax² + bx + c, where 1

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