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If a and 3 are the zeroes of the quadratic polynomial f(x) = x² + x − 2, then find the value of (i)α - β (ii)α2 + β2 (iii)at + β4 (iv)αβ’ +α?β τα 1 1 (viii)a3 + β’ β 1 α + 1 (ix) + β α β β α (xii)atβ3 +αβ4 1 (vi)=+ α β να β (*). + β α 1 1 (xiii)=+ α β ·αβ (vii) 1 α α (xi) + β +2 α βι + β α α β –2αβ (xiv) + 2 βι α 1 2 1 +3αβ

If a and 3 are the zeroes of the quadratic polynomial f(x) = x² + x − 2, then find the value of (i)α - β (ii)α2 + β2 (iii)at + β4 (iv)αβ’ +α?β τα 1 1 (viii)a3 + β’ β 1 α + 1 (ix) + β α β β α (xii)atβ3 +αβ4 1 (vi)=+ α β να β (*). + β α 1 1 (xiii)=+ α β ·αβ (vii) 1 α α (xi) + β +2 α βι + β α α β –2αβ (xiv) + 2 βι α 1 2 1 +3αβ

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.5: Complex Zeros And The Fundamental Theorem Of Algebra
Problem 1E: The polynomial P(x)=5x2(x4)3(x+7) has degree ___________. It has zeros 0, 4, and ______________. The...
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If a and 3 are the zeroes of the quadratic polynomial f(x) = x² + x − 2, then find the value of (i)α - β (ii)α2 + β2 (iii)at + β4 (iv)αβ’ +α?β τα 1 1 1 1 1 (vi)=+ α β ·αβ (vii) (viii)a3 + β’ α α β α 1 β 1 (xi) + +2 + β α α β –2αβ (xiv) + α βι 2 2 βι α 1 β α β (ix) + β α (xii)atβ3 +αβ4 + να β (*). + β α 1 1 (xiii)=+ α β +3αβ
Transcribed Image Text:If a and 3 are the zeroes of the quadratic polynomial f(x) = x² + x − 2, then find the value of (i)α - β (ii)α2 + β2 (iii)at + β4 (iv)αβ’ +α?β τα 1 1 1 1 1 (vi)=+ α β ·αβ (vii) (viii)a3 + β’ α α β α 1 β 1 (xi) + +2 + β α α β –2αβ (xiv) + α βι 2 2 βι α 1 β α β (ix) + β α (xii)atβ3 +αβ4 + να β (*). + β α 1 1 (xiii)=+ α β +3αβ
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