Polynomials question. (1 Viewer)

[echelon4]

if a,b,c are the roots of x^3+2^2-2x+3=0, form the equation whose roots are
a^2,b^2,c^2.

thanks in advanced.

 

[Trev]

x³+2x²-2x+3=0
Since a,b,c are the roots of this equation than the polynomial with roots a²,b²,c² are when x=a², a=√x.
(√x)³+2(√x)²-2√x+3=0
x√x+2x-2√x+3=0
√x(x-2)=-(2x+3)
x(x²-4x+4)=4x²+12x+9
x³-8x²-8x-9=0.

 

[echelon4]

wow thanks alot