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Published byDonna Curtis Modified over 8 years ago
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“Is it better to be feared or respected? And I say, is it too much to ask for both?”
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3.7: Complex Zeros
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If f (x) is a polynomial of degree n > 0, the f has exactly n linear factors and therefore n zeros in the complex plane a+bi. Fundamental Theorem of Algebra
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Complex Zeros Find the complex zeros of the polynomial function, and write as a product of linear factors.
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Complex Zeros Find the complex zeros of the polynomial function, and write as a product of linear factors.
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Complex Zeros Find the complex zeros of the polynomial function, and write as a product of linear factors.
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Conjugate Pairs Theorem Let f (x) be a complex polynomial whose coefficients are real numbers. If r = a + bi is a zero of f, then the complex conjugate is also a zero of f. Find a polynomial f of degree 4 in standard form whose coefficients are real numbers and has zeros 1, 2, and 2 + i.
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Complex Zeros Use the given zero to find the remaining zeros of the given function.
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Complex Zeros Use the given zero to find the remaining zeros of the given function.
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“Don’t worry Wilson, I’ll do all the paddling. You just hang on!”
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3.7 Complex Zeros Homework: Page 237 #7 – 31 Odd
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