Edexcel Further Maths (Pure) Verified Answers 2025 Guaranteed distinction

Edexcel Further Maths (Pure)
if ax²+bx+c has roots α and β, the sum of the roots (α+β) = - ANS-b/a



if ax²+bx+c has roots α and β, the product of the roots (αβ) = - ANSc/a



if ax³+bx²+cx+d has roots α, β and γ, the sum of the roots (α + β + γ) or ∑α = - ANS-b/a



if ax³+bx²+cx+d has roots α, β and γ, the sum of the pairs of the roots (αβ + αγ+ βγ) or ∑αβ = - ANSc/a



if ax³+bx²+cx+d has roots α, β and γ, the product of the roots (αβγ) or ∑αβγ = - ANS-d/a



for a quartic: ax⁴+bx³+cx²+dx+e, ∑α = - ANS-b/a



for a quartic: ax⁴+bx³+cx²+dx+e, ∑αβ = - ANSc/a



for a quartic: ax⁴+bx³+cx²+dx+e, ∑αβγ = - ANS-d/a



for a quartic: ax⁴+bx³+cx²+dx+e, ∑αβγδ = - ANSe/a



z=a+bi, Re(z) = - ANSa



z=a+bi, Im(z) = - ANSb



z=a+bi, z*= - ANSa-bi



complex roots always come in - ANSpairs, z and z*