Question: P x px x qx ( ) 8 2 = + + is divisible by 2 1 x and when divided by x 1 ,

P x px x qx ( ) 8 2 = + + is divisible by 2 1 x and when divided by x 1 , the remainder is 3 , where p and q are constants. a. Find the values of p and q . b. Hence, using long division, factorize P x( ) completely. c. Find all roots of P x( ) if P x( ) 0 = .

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