The remainder theorem indicates theorem indicates that when a polynomial​ f(x) is divided by x−​k, the remainder is equal to​ f(k). For f(x) = x^2 − 3x^2 - x + 3​, use the remainder theorem to find each of the following. Then determine the coordinates of the corresponding point on the graph of​ f(x).  65.) f(-2)   66.) f(-1)   67.) f(- 1/2)   68.) f(0)   69.) f(1)   70.) f(3/2)   71.) f(2)   72.) f(3)     73.) Use the results from problems​ 65-72 to plot eight points on the graph of​ f(x). Connect these points with a smooth curve. Describe a method for graphing polynomial functions using the remainder theorem.   74.) Use the method described in problems​ 65-73 to sketch the graph of f(x) = − x^3 x^2 + 2x.

Q: 7. Find a polynomial of degree 3 with zeroes -3, 2 and 3, passing through the point (0, 12).

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.