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Warm-up: Find the equation of a quadratic function in standard form that has a root of 2 + 3i and passes through the point (2, -27). Answer: f(x) = -3x2.

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Presentation on theme: "Warm-up: Find the equation of a quadratic function in standard form that has a root of 2 + 3i and passes through the point (2, -27). Answer: f(x) = -3x2."— Presentation transcript:

1 Warm-up: Find the equation of a quadratic function in standard form that has a root of 2 + 3i and passes through the point (2, -27). Answer: f(x) = -3x2 + 12x – 39

2 Topics in the Theory of Polynomial Functions
Chapter 3.7 Topics in the Theory of Polynomial Functions

3 Objectives & HW Students will be able to find the equation of a polynomial function satisfying given conditions. HW: p. 233: 2, 10, 22, 24, 28

4 Find a cubic polynomial in standard form with real coefficients, having the given zeros. Let the leading coefficient be 1. No calculator. 4 and 2+i

5 Find a function P(x) defined by a polynomial of degree 3 with real coefficients that satisfies the given conditions. No calculator. Zeros of -3, 1, and 4; P(2) = 5

6 3) Find a polynomial function P(x) of least possible degree, having real coefficients, with the given zeros. Let the leading coefficient be 1.

7 4) Find a polynomial function P(x) of least possible degree, having real coefficients, with the given zeros. Let the leading coefficient be 1.

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