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1) The polynomial f(x) is divided by the polynomial d(x) to give a quotient of q(x) and a remainder of r(x). If \(\deg f = 9\) and \(\deg r = 3\), what is the maximum possible value of \( \deg q\)?

2) When the polynomial p(x) is divided by x - 1, the remainder is 3. When the polynomial p(x) is divided by x - 3, the remainder is 5. What is the remainder when the polynomial p(x) is divided by (x - 1)(x - 3)?

 Aug 13, 2019
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1) The maximum possible value of deg q is 6.

 

2) The remainder is 6x + 7.

 Nov 27, 2019

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