Mathematics, 30.10.2021 18:30, KiemaBear

Consider the sketch of the polynomial below: The purple dot is located at (-4,0), the red one at (0,0), and the green one at (5,0). This polynomial is also known to have a complex-valued root of r=1-i. Determine the real-valued polynomial of smallest degree that could have the properties in the sketch. Write this polynomial in standard form. Make sure to explain clearly all the logic you used to arrive at your polynomial.

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Consider the sketch of the polynomial below: The purple dot is located at (-4,0), the red one at (0,...