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Grade 11Algebra

Find the remainder when x^100 is divided by x^2-3x+2.

Please give the solution

Shrey

12 Years agoGrade 11

1 Answer

Arun Kumar

Approved Tutor Answer12 Years ago

$x^{100}=Q(x)(x^2-3x+2)+ax+b \\=>1=a+b \\=>2^{100}=2a+b \\=>a=(2^{100}-1)/2 \\=>b=2-2^{100}$

Thanks & Regards

Arun Kumar

IIT Delhi

Askiitians Faculty

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