find a cubic polynomial with the sum ,sum of product of its zeros taken to a time and the product of zero as 2, - 7 ,-14 respectively
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Answer:
p(x)=x^3-2x^2-7x+14
Step-by-step explanation:
For a cubic polynomial
p(x)=ax^3+bx^2+cx+d
alpha +beta +gama=-b/a
alphabeta+betagama +gamaalpha=c/a
alpha.beta.gama=-d/a
-b/a=2 let us assume a=1 ,b=-2
c/a=-7,c=-7
-d/a=-14,d=14
a=1;b=-2;c=-7;d=14
p(x)=x^3-2x^2-7x+14.
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