Algebramedium · Past Paper
Find the value of 'k' if (x + 2) is a factor of x^3 - kx^2 + 3x + 10.
A-2
B2
C1
D-1
✓ Correct Answer: D — -1
By Factor Theorem, P(-2) = 0. (-2)^3 - k(-2)^2 + 3(-2) + 10 = 0 => -8 - 4k - 6 + 10 = 0 => -4k - 4 = 0 => k = -1.
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