Consider the following polynomials in P3: a(x) = x³_2x²–2x+3 r(x) = 4x³–x²-3x+6 u(x) = 4x³+9x²+x+3 For each of the following polynomials, determine whether it is in span{q, r, u}. If so, express it as a linear combination of the polynomials above. Use, e.g., q rather than q(x) to represent the polynomials in your linear combination. P1 is in span{q, r, u} P1(x) = -5x3-7x² +x-6 Pi = 0 %3D P2(x) = 17x³+14x²-6x+21 < Select an answer > %3D P3(x) = -8x³+10x²-7x-10 < Select an answer >
Consider the following polynomials in P3: a(x) = x³_2x²–2x+3 r(x) = 4x³–x²-3x+6 u(x) = 4x³+9x²+x+3 For each of the following polynomials, determine whether it is in span{q, r, u}. If so, express it as a linear combination of the polynomials above. Use, e.g., q rather than q(x) to represent the polynomials in your linear combination. P1 is in span{q, r, u} P1(x) = -5x3-7x² +x-6 Pi = 0 %3D P2(x) = 17x³+14x²-6x+21 < Select an answer > %3D P3(x) = -8x³+10x²-7x-10 < Select an answer >
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.3: Factorization In F [x]
Problem 4E: Write each of the following polynomials as a products of its leading coefficient and a finite number...
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