If P(x)=ax2+bx+cP(x) = ax^2 + bx + cP(x)=ax2+bx+c has roots α\alphaα and β\betaβ, find the polynomial with roots α2\alpha^2α2 and β2\beta^2β2.
a2x2+(b2−2ac)x+c2=0a^2x^2 + (b^2-2ac)x + c^2 = 0a2x2+(b2−2ac)x+c2=0
a2x2−(b2−2ac)x+c2=0a^2x^2 - (b^2-2ac)x + c^2 = 0a2x2−(b2−2ac)x+c2=0
a2x2+(b2+2ac)x+c2=0a^2x^2 + (b^2+2ac)x + c^2 = 0a2x2+(b2+2ac)x+c2=0
x2−(b2−2ac)x+c2=0x^2 - (b^2-2ac)x + c^2 = 0x2−(b2−2ac)x+c2=0