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  • P(x)=2x 4 ?x 3 +2x 2 ?6P, left parenthesis, x, right parenthesis, equals, 2, x, start superscript, 4, end superscript, minus, x, cubed, plus, 2, x, squared, minus, 6 What is the remainder when P(x)P(x)P, left parenthesis, x, right parenthesis is divide

P(x)=2x 4 ?x 3 +2x 2 ?6P, left parenthesis, x, right parenthesis, equals, 2, x, start superscript, 4, end superscript, minus, x, cubed, plus, 2, x, squared, minus, 6 What is the remainder when P(x)P(x)P, left parenthesis, x, right parenthesis is divided by (x-2)(x?2)left parenthesis, x, minus, 2, right parenthesis?

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P(x)=2x^4-x^3+2x^2-6\*We;have;to;find;remainder;when;it;is;divided; by;(x-2)\*According;to;remiander;theorem;when;polynomial,f(x);is;divided;by\*(x-a);then;remainder;is;given;by;f(a)\* Rightarrow P(2)=2(2)^4-(2)^3+2(2) 2-6=26\* Hence,;remainder;when;P(x)=2x^4-x^3+2x^2-6;is;divided;by;(x-2)\* is;26

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Deependra Verma

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