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x³+ 5x²-2x-24 has a zero at x = 2. Find the other zeros.
Question

x³+ 5x²-2x-24 has a zero at x = 2. Find the other zeros.

A.

-3, -4

B.

-3, 5

C.

-2, -3

D.

3, 4

Correct option is A


Solution:
From the given option (a)
Put x = - 3 in the given equation
x³+ 5x²-2x-24
(-3)³+ 5(-3) ² - 2×(-3)-24=0
-27+45+6-24=0
-51+51=0
0=0 satisfied
Again, x = -4 x³+ 5x²-2x-24
(-4) ³+5(-4)² 2×-4)-24=0
-64+80+8-24=0
-88+88=0
satisfied.
Therefore, the correct option is (a)

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