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10 cards from this deck
f(a)f(a)f(a)
(xβa)(x-a)(xβa) is a factor of f(x)f(x)f(x)
Evaluate f(a)f(a)f(a); if f(a)=0f(a) = 0f(a)=0, it's a factor
Quicker way to find remainder
x = rac{2}{3} (from 3xβ2=03x-2=03xβ2=0)
Use polynomial division to find quotient, then factor it
Factorize fully, set each factor to 0
f(β1)=0f(-1) = 0f(β1)=0
Create simultaneous equations using factor theorem
Remainder theorem
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