find the values of a if x-a is a factor of x^3-xa^2+x+2
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The given polynomial is
f (x) = x^3 - x a^2 + x + 2
Since, (x - a) is a polynomial of f (x),
f (a) = 0
⇒ a^3 - a a^2 + a + 2 = 0
⇒ a^3 - a^3 + a + 2 = 0
⇒ a + 2 = 0
⇒ a = - 2
Therefore, the value of a is (- 2).
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The given polynomial is
f (x) = x^3 - x a^2 + x + 2
Since, (x - a) is a polynomial of f (x),
f (a) = 0
⇒ a^3 - a a^2 + a + 2 = 0
⇒ a^3 - a^3 + a + 2 = 0
⇒ a + 2 = 0
⇒ a = - 2
Therefore, the value of a is (- 2).
#MarkAsBrainliest
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