burrows3141
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The factor theorem of algebra states that if a polynomial, P(x), is divided by x−a, then the remainder is P(a). Verify the remainder theorem by showing that when x^2−2x−16
is divided by x+3 the remainder is the same as P(−3).
Remainder for (x^2−2x−16)/(x+3)?
P(-3)?

Respuesta :

ejelonubenedict
okay... by using long division method first
we have
x²-2x-16 ÷ x+3
quotient = x-5 , remainder = -1
using factor Theorem
we have
f(-3) = (-3)² -2(-3) -16 = 9+6-16 = -1 (remainder)

so the remainder theorem is valid

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