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Relationship between Zeroes and Coefficients of a Polynomial

Write the coe...

Question

Write the coefficient of the polynomial p(z) = z⁵ − 2z² + 4.

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Solution

We have to find the co-efficient of the polynomial

Co-efficient of

Co-efficient of

Co-efficient of

Co-efficient of

Co-efficient of

Constant term

Hence, the co-efficient of and constant term is

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Similar questions

If the expression

z^{5} = 32

can be factorised into linear and quadratic factors over real coefficients as

(z^{5} - 32) = (z - 2) (z^{2} - p z + 4) (z^{2} - q z + 4)

, where p > q, then the value of

p^{2} - 2 q

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