If the zeros of the polynomial are f(x) = x^3 − 3x^2 +x + 1 are p – q, p and
p + q, find p and q .
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Answer:
sum of roots=3
a+a−b+a+b=3
3a=3
a=1
product of roots =−1
a(a
2
−b
2
)=−1
(1−b
2
)=−1
b
2
=2
b=
2
a=1;b=
2
roots are 1,1+
2
,1−
2sum of roots=3
a+a−b+a+b=3
3a=3
a=1
product of roots =−1
a(a
2
−b
2
)=−1
(1−b
2
)=−1
b
2
=2
b=
2
a=1;b=
2
roots are 1,1+
2
,1−
2
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