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The zeros of a polynomial are the values of x for which the value of the polynomial is zero. Find the polynomial function with integer coefficients that has given zeros.

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Jan 27, 2015 · Find a cubic polynomial function with real coefficients that has the given complex zeros and x-intercept. asked Jan 27, 2015 in TRIGONOMETRY by anonymous zeros-of-the-function

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Answer to: Find a cubic polynomial with real coefficients and roots 2 , 1 8 , and 17 8 . By signing up, you'll get thousands of step-by-step...

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1 day ago · View Answer If α and β are the zeros of quadratic polynomial: P x = − 3 x 2 − 4 x + 1 . Quadratic equations. Find two additional roots. A polynomial in one or more variables, set equal to zero. 7 How to write an equation given the zeros Given zeros of 3, 4 andThe equation is two expressions separated by an equal sign (=). If the polynomial function f has real coefficients and a complex zero in the form [latex]a+bi[/latex], then the complex conjugate of the zero, [latex] Example 7: Using the Linear Factorization Theorem to Find a Polynomial with Given Zeros. Find a fourth degree polynomial with real coefficients that...

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Finding the roots of higher-degree polynomials is a more complicated task. Introduction to Rational Functions . Rational functions are fractions involving polynomials. A rational function f(x) has the general form shown below, where p(x) and q(x) are polynomials of any degree (with the caveat that q(x) ≠ 0, since that would result in an #ff0000 function).

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A consequence is that, for classical numeric root-finding algorithms, the problem of approximating the roots given the coefficients is ill-conditioned. Conjugation. The complex conjugate root theorem states that if the coefficients of a polynomial are real, then the non-real roots appear in pairs of the form (a + ib, a – ib).

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