5-7A Classifying Zero’s Algebra II.

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Presentation transcript:

5-7A Classifying Zero’s Algebra II

Identify the # of solutions or zeros Ex. 1) 9 𝑡 6 - 14t³ + 4t – 1 = 0

Possible Combinations of answers Degree Roots Possible Combinations 1 1 Real Root 2 2 Real Roots, or 2 imaginary Roots 3 3 Real Roots, or 1 Real and 2 imaginary Roots 4 4 Real Roots, or 2 Real and 2 imaginary Roots, or 4 imaginary Roots 5 5 1 Real and 4 imaginary roots or 3 Real & 2 imaginary roots

Ex. 2 Determine the # of possible numbers of (positive & negative) real numbers & imaginary zero’s for the function. 2a.) g(x) = -x³ + 5x² + 12 2b.)f(x) = 𝑥 5 +7 𝑥 4 -4 𝑥 3 - 3x² +9x -15 1 R & 2 i

Assignment

Ex. 3 Write a polynomial function f of least degree that has rational coeffecients, a leading coefficient of 1 and the given zero’s. a.) -2, 1, 3 b.) 5, 5, 4 + I c.) 3i, 2-i