If (x+1)is a factor of $x^{2} - 3 a x + 3 a - 7$ , then the value of a is

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Solution

The correct option is A 1
Since $x + 1$ is a factor of the polynomial $p (x) = x^{2} - 3 a x + 3 a - 7$
Therefore, by Factor theorem $p (- 1) = 0$
$\Rightarrow (- 1)^{2} - 3 a (- 1) + 3 a - 7 = 0$
$\Rightarrow 1 + 3 a + 3 a - 7 = 0 \Rightarrow a = 1$
Option A is correct.

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