find the value of a if (x-a) is a factor of the polynomial x^3 - (a^2-1)x + 2
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Hello there !!!
Here ,
[ x - a ] is a factor of x³ - [ a² - 1 ]x + 2
So ,
x = a
Put this value in the polynomial !!
a³ - [ a² - 1 ] a + 2
a³ - a³ + a + 2 = 0
a + 2 = 0
a = -2
Hope this Helps You !!
Here ,
[ x - a ] is a factor of x³ - [ a² - 1 ]x + 2
So ,
x = a
Put this value in the polynomial !!
a³ - [ a² - 1 ] a + 2
a³ - a³ + a + 2 = 0
a + 2 = 0
a = -2
Hope this Helps You !!
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