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Question

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


A
1
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B
-1
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C
0
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D
-2
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Solution

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

Mathematics

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