P(x)P, left parenthesis, x, right parenthesis is a polynomial. P(x)P(x)P, left parenthesis, x, right parenthesis divided by (x-9)(x−9)left parenthesis, x, minus, 9, right parenthesis has a remainder of 111. P(x)P(x)P, left parenthesis, x, right parenthesis divided by (x-4)(x−4)left parenthesis, x, minus, 4, right parenthesis has a remainder of 777. P(x)P(x)P, left parenthesis, x, right parenthesis divided by (x+4)(x+4)left parenthesis, x, plus, 4, right parenthesis has a remainder of 000. P(x)P(x)P, left parenthesis, x, right parenthesis divided by (x+9)(x+9)left parenthesis, x, plus, 9, right parenthesis has a remainder of -5−5minus, 5. Find the following values of P(x)P(x)P, left parenthesis, x, right parenthesis. P(4)=P(4)=P, left parenthesis, 4, right parenthesis, equals P(-9)=P(−9)=P, left parenthesis, minus, 9, right parenthesis, equals
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