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Let p1(x) = x - 2020x² + b,x +c, and p2(x) =x' - 2021x + b,x + cz be polynomials having two common roots a and B. Suppose there exist polynomials q, (x) and 92(x) such that p,(x)q,(x) + p:(x)q;(x) = x*- 3x + 2. Then the correct identity is A) p(3) + p2(1) + 4028 = o B) p.(3) + p2(1) + 4026 = o C) p.(2) + p2(1) + 4028 D) p,(1) + p,(2) + 4028 = 0

Let p1(x) = x - 2020x² + b,x +c, and p2(x) =x' - 2021x + b,x + cz be polynomials having two common roots a and B. Suppose there exist polynomials q, (x) and 92(x) such that p,(x)q,(x) + p:(x)q;(x) = x*- 3x + 2. Then the correct identity is A) p(3) + p2(1) + 4028 = o B) p.(3) + p2(1) + 4026 = o C) p.(2) + p2(1) + 4028 D) p,(1) + p,(2) + 4028 = 0

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.6: Multiplying Polynomials
Problem 48WE
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Let p, (x) = x³ polynomials having two common roots a and A. Suppose there exist polynomials q(x) and 9:(x) such that p,(x)q,(x) +p:(x)q(x) = x*- 3x + 2. Then the correet identity is 2020x + b,x +c, and p,(x) =x2021x+ bx + c, be A) P.(3) + p:()+4028 = 0 B p,(3) + p2(1) + 4026 O p.(2) + p2(1) + 4028 D) p(1) p,(2) + 4028 = 0
Transcribed Image Text:Let p, (x) = x³ polynomials having two common roots a and A. Suppose there exist polynomials q(x) and 9:(x) such that p,(x)q,(x) +p:(x)q(x) = x*- 3x + 2. Then the correet identity is 2020x + b,x +c, and p,(x) =x2021x+ bx + c, be A) P.(3) + p:()+4028 = 0 B p,(3) + p2(1) + 4026 O p.(2) + p2(1) + 4028 D) p(1) p,(2) + 4028 = 0
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