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Using the Factor Theorem, determine which of the following is a factor of the polynomial f (x) = x^3 – 3x^2 + x + 1.

x – 1
x + 1
x – 2
x + 2

Sagot :

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x = 1

f (1) = 1³ - (3 × 1²) +1 +1

= 1 - 3 +1 +1 = 0

x - 1 is a factor of the polynomial.

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