Question
Asked Nov 2, 2019
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White a polynomial f(x) that satisfies the given conditions.

Degree 3 polynomial with integer coefficients with zeros 7i and 9/7.

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Expert Answer

Step 1

Given zeros of a polynomial,

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7i, To find the polynomial f(x) that satisfies the given conditions, i.e. the polynomial has integer coefficients as the given zeros

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Step 2

Note:

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Ifr is a zero, then x -ris a factor of the polynomial As we have integer coefficients, complex zeros always occur in conjugate pair The conjugate pair of 7i is -7i

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Step 3

Thus, we multiply all...

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(x- 7i)(x+71) (x = (x- C7i)) (x) - (x + 49) (x7 (x-749 (x7) x2 = = x3 -x2 + 49x - 49 7 = x3 x2 49x - 63

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Math

Algebra

Equations and In-equations