Question 4

If $$(x+1)$$ is a factor of $$x^2 -7qx+12q=0$$, then find the possible values of $$q$$.

Solution

Given : $$(x+1)$$ is a factor of $$x^2 -7qx+12q=0$$

=> $$x=-1$$ is a solution of above equation.

=> $$(-1)^2-7q(-1)+12q=0$$

=> $$1+7q+12q=0$$

=> $$19q=-1$$

=> $$q=\frac{-1}{19}$$

=> Ans - (A)


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