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The value of a if (x - a) is a factor of x⁶-ax⁵+x⁴- ax³+3x - a + 2 = 0, is
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a = -1
Step-by-step explanation:
If X - a is a factor of the equation then we can say that x = a
now, putting the value of a in the equation we get,
a^6 - a.a^6 + x^4 - a.a^3 + 3x - a+2 =0
or, 3a - a + 2 = 0
or 2a + 2 = 0
or, 2(a + 1) = 0
or, a + 1 = 0
therefore a = -1
The value of a is -1.
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