Question

If the zeroes of the polynomial x^3- 3x^2 + x + 1 are a – b, a, a +b, find a and b.
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Answer 1

for a cube polynomial

p(x) = ax³+ bx² +cx + d

with zeroes a ,lema and y

we have

a + lema + y = -b/a

a lema + y lema + ya =a/c

a lema y = -d/a

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