Question

The three solutions of the equation $f\left(x\right)=0$ are $-4,8$ and $11$. Therefore, the three solutions of the equation $f\left(2x\right)=0$ are

• A. $-2,4$ and $11/2$
• B. $-8,16$ and $22$
• C. $-4,8$ and $11$
• D. $2,19/2$ and $7/2$

Answer 1

Answer: (A)

$-2,4$ and $11/2$

$f\left(x\right)=(x+4)(x-8)(x-11)=0$

$f\left(2x\right)=(2x+4)(2x-8)(2x-11)=0$

$\Rightarrow x=-2,4,11/2$ are roots of $f\left(2x\right)$