Which of the following is a factor of the polynomial $p(x) = x^3 - 6x^2 + 11x - 6$?
A$x - 4$
B$x + 1$
C$x - 3$CORRECT
D$x + 2$
GCEFurther MathematicsPolynomials and Partial Fractions2024
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Why the answer is C, and why the others tempt you.
Testing x = 3: p(3) = 27 - 54 + 33 - 6 = 0, so (x - 3) is a factor by the Factor Theorem. Testing the other options gives non-zero values, confirming they are not factors.
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