Find q cubic polynomial wit the sum and sum of the product of its zeroes taken two at a time and prod
uct of its zeroes are 2,-7,-14 respectively
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Answer:
X^3-2x^2-7x+14
Step-by-step explanation:
Let the zeroes be x,y and z.
Sum:
X+y+z=2.
Sum of the product of the zeroes taken two at a time:
Xy+yz+zx=-7
Product:
Xyz=-14.
Cubic polynomial:
K (x^3-(x+y+z)x^2+(xy+yz+zx)x-(xyz))
K (x^3-2x^2-7x+14)
If k=1, cubic polynomial is
X^3-2x^2-7x+14
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