Question

Determine the value of 'a', if (x - a) is a factor of the polynomial x-(a² -1)x+2
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Answer 1

x-a is the factor of the given ploynomial

p (x) = x³ - a² x + x + 2

therefore p(a) = 0

a³ - a³ + a + 2 = 0

a = -2

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