If α and β are the zeroes of the quadratic polynomial f(x) = ax2 + bx + c, then evaluate :(i) α − β(ii) 1α-1β(iii) 1α+1β-2αβ(iv) α2β − αβ2(v) α4 + β4(vi) 1aα+b+1aβ+b(vii) βaα+b+αaβ+b(viii) aα2β+β2α+bαβ+βα

If α and β are the zeroes of the quadratic polynomial f(x) = ax2 + b

1.	If α and β are the zeroes of the quadratic polynomial f(x) = ax2 + bx + c, then evaluate :(i) α − β(ii) 1α-1β(iii) 1α+1β-2αβ(iv) α2β − αβ2(v) α4 + β4(vi) 1aα+b+1aβ+b(vii) βaα+b+αaβ+b(viii) aα2β+β2α+bαβ+βα
Answer» If α and β are the zeroes of the quadratic polynomial f(x) = ax² + bx + c, then evaluate : (i) α − β (ii) $\frac{1}{α} - \frac{1}{β}$ (iii) $\frac{1}{α} + \frac{1}{β} - 2 αβ$ (iv) α²β − αβ² (v) α⁴ + β⁴ (vi) $\frac{1}{a α + b} + \frac{1}{a β + b}$ (vii) $\frac{β}{a α + b} + \frac{α}{a β + b}$ (viii) $a (\frac{α^{2}}{β} + \frac{β^{2}}{α}) + b (\frac{α}{β} + \frac{β}{α})$

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If α and β are the zeroes of the quadratic polynomial f(x) = ax2 + bx + c, then evaluate :(i) α − β(ii) 1α-1β(iii) 1α+1β-2αβ(iv) α2β − αβ2(v) α4 + β4(vi) 1aα+b+1aβ+b(vii) βaα+b+αaβ+b(viii) aα2β+β2α+bαβ+βα

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