Solve the equation

Question:

Let for $a \neq a_{1} \neq 0, f(x)=a x^{2}+b x+c, g(x)=a_{1} x^{2}+b_{1} x+c_{1}$ and $p(x)=f(x)-g(x)$. If $\mathrm{p}(\mathrm{x})=0$ only for $\mathrm{x}=-1$ and $\mathrm{p}(-2)=2$, then the value of $\mathrm{p}(2)$ is

  1. 18

  2. 3

  3. 9

  4. 6


Correct Option: 1

Solution:


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