(d) The expression hx3 – 5x2 + 2kx + 6 leaves a remainder of 3 when it is divided by (x – 3) and a remainder of -22 when it is divided by (x + 2). Find the value of h and of k. With these values of h and k, find the remainder when the expression is divided by (2x + 1).

Algebra: Structure And Method, Book 1
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Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
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(d) The expression hx3 – 5x2 + 2kx + 6 leaves a remainder of 3 when it is divided by (x – 3) and a remainder of -22 when it is divided by (x + 2). Find the value of h and of k. With these values of h and k, find the remainder when the expression is divided by (2x + 1).

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