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