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Find the zeroes of the polynomial \(t^3 - 2t^2 - 15t\) by factorisation method and verify the relation between the coefficients and the zeroes of the polynomial.
 
Answer:
 
The zeroes are
,
and
.
 
Sum of the zeroes \(=\)
 
Product of the zeroes \(=\)
 
Sum of product of zeroes taken two at a time \(=\) 
Answer variants:
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\(t = 5\)
coefficientoftcoefficientoft3=15
\(t = 3\)
\(t = -5\)
\(t = 1\)
\(t = 0\)
\(t = -3\)
coefficientoft2coefficientoft3=2
constantcoefficientoft3=0