the equation whose roots are multiplied by2 of those of x^3+3x^2-5x+7=0 is
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x3+6x2−20x+8=0
The given equation is
f(x)=x3+3x2−5x+1=0
Replace x by 2x in the above equation to get the desired equation.
The required equation is
f(2x)=(2x)3+3(2x)2−5(2x)+1=0
=8x3+43x2−25x+1=0
On solving the equation, we get
x3+6x2−20x+8=0
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