Find an nth-degree polynomial function with real coefficients satisfying the given conditions as n = 3; 2 and 2 - 3i are zeros; f(1) = -10. If you are using a graphing utility, graph the function and verify the real zeros and the given function value.

Q: Let f(x) be a polynomial with real coefficients. The polynomial f(x) leaves the remainder 2x +1 when…

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Q: Sketch the following polynomial function. Show your complete solution by checking the symmetry,…

A: fx=2x+1x-22x-63                                            1f-x=-2x+1-x-22-x-63≠fx Also, f-x≠-fx So,…

Q: A herd of 100 elk is introduced to a small island. The number of elk, f(x), after x years is modeled…

A: Here given polynomial function as fx=-x4+21x2+100 or it can be written as fx=-x22+21x2+100 Thus it…

Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If…

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Q: Find the zeros for the polynomial function f(x) = -2(x - 1)(x + 2)2(x + 5)3 and give the…

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Q: For the equations 2x3 - 5x2 + x + 2 = 0,  2x3 - 3x2 - 11x + 6 = 0, 12x3 + 16x2 - 5x - 3 = 0 and 3x3…

A: Given: 2x3-5x2+x+2=02x3-3x2-11x+6=012x3+16x2-5x-3=03x3+7x2-22x-8=0 Note: Here we are solving for…

Q: 4) Graph the polynomial function. Don't forget to find the x-intercepts to divide the x-axis into…

A: Given: fx=-x4+2x3 To do: Graph the given polynomial by mentioning the x and y intercepts.

Q: f(x) =x+ – 2x³ –6x² + 22x – 15 |

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Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.