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?βτα11111(vi)=+α β·αβ(vii)(viii)a3 + β’ααβα1β1(xi) ++2+β α α β–2αβ (xiv) +α βι22βι α1βα β(ix) +β α(xii)atβ3 +αβ4+να β(*).+βα11(xiii)=+α β+3αβ

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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

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Complex Numbers

Section4.2: Complex Solutions Of Equations

Problem 7ECP: Find the cubic polynomial function f with real coefficients that has 1 and 2+i as zeros, and f2=2.

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