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a.  The degree of the polynomial \(p(x)\) is \(11\), and the degree of the polynomial \(q(x)\) is \(7\). Find all possible degrees of the polynomial \(p(x) + q(x)\).

 

b. Suppose \(f\) is a polynomial such that \(f(0) = 47\), \(f(1) = 32\), \(f(2) = -13\), and \(f(3)=16\). What is the sum of the coefficients of \(f\)?

 Mar 16, 2019
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\(deg(p(x)) > deg(q(x)) \Rightarrow deg((p+q)(x)) = deg(p(x))\)


\(c_0 + c_1 + c_2 + \dots + c_n = f(1) =32\)

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 Mar 17, 2019
edited by Rom  Mar 17, 2019
edited by Rom  Mar 17, 2019

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