Question

if 1 and -2 are two zeros of the polynomial (x3 - 4x2 - 7x + 10), find its third zero.

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Answer 1

answer=5

Let alpha,beta,gamma be zeros of polynomial

alpha=1, beta=-2, gamma=?

alpha+beta+gamma=4=-coefficient of X2/coefficient of X3

1+-2+gamma=4

-1+gamma=4

gamma=5

so the third zero is 5

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