Question

2
7x - 3; 3, 1, 1
30. Find a cubic polynomial with the sum, sum of the product of its zeroes taken two at a time
and product of its zeroes as 3, -5, 1.
ANSWERS
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Answer 1

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Answer 2

Step-by-step explanation:

Let ax³+bx²+xx+d=0 be a cubic polynomial and alpha, beeta, gama be the three zeroes of the polynomial.

alpha+beeta+gama=3/1=-b/a.

alphabeeta+beetagama+gamaalpha=-5/1=c/a.

alphabeetagama=1/1=-d/a.

a=1. b=-3. c=-5. d=-1

x³-3x²-5x-1=0 is the required cubic polynomial.