Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th
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Find the GCD of the following by division algorithm 2x4 + 13x3 + 27x2 + 23x + 7, x3 + 3x2 + 3x + 1, x2 + 2x + 1 - Mathematics

Sum

Find the GCD of the following by division algorithm

2x4 + 13x3 + 27x2 + 23x + 7, x3 + 3x2 + 3x + 1, x2 + 2x + 1

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Solution

p(x) = 2x4 + 13x3 + 27x2 + 23x + 7

g(x) = x3 + 3x2 + 3x + 1

r(x) = x2 + 2x + 1

(i) Find the G.C.D. of p(x) and g(x)

∴ G.C.D. = x3 + 3x2 + 3x + 1
(ii) Find the G.C.D. of r(x) and the G.C.D. of p(x) and g(x)

∴ G.C.D. = x2 + 2x + 1

∴ G.C.D. of the three polynomials = x2 + 2x + 1

  Is there an error in this question or solution?
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APPEARS IN

Samacheer Kalvi Mathematics Class 10 SSLC Tamil Nadu State Board
Chapter 3 Algebra
Unit Exercise – 3 | Q 5 | Page 157
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