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In this lesson, we will learn how to write a polynomial function with real coefficients in standard form, given its zeros, using linear factorization and conjugate root theories.
Q1:
Write a polynomial function of least degree with real coefficients in standard form given that it has β 4 and 2 π (multiplicity 2) as zeros.
Q2:
Write a polynomial function of the least degree with real coefficients in standard form given that it has 1 , 2 , and 7 + 2 π as zeros.
Q3:
Write a polynomial function of the least degree with real coefficients in standard form given that it has β 5 + 2 , β β 5 + 2 and 3 β π as zeros.
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