Question

Fond the value of a, if (x - a) is a factor of x³ - ax² + x + 2.​

Answer 1

Answer:

I have mentioned two answer you can chooze any one which suits you ;)

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Answer 2

❍ Let f(x) = x³ - ax² + x + 2.

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☆ Given : (x - a) is factor of f(x), by cor. 2 to factor theorem, f(a) = 0.

➻ a³ - a.a² + a + 2 = 0

➻ a³ - a³ + a + 2 = 0

➻ a + 2 = 0

➻ a = -2

❖ Therefore,

• Hence, the value of a is -2.

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