Question

Let a, b, c be real numbers with $a ≠ 0$ and let $α, β$ be the roots of the equation $ax²+bx+c=0$, then $a³x²+abcx+c³=0$ has roots

• A. $\alpha^2 \beta, \beta^2 \alpha$
• B. $\alpha, \beta^2$
• C. $\alpha^2 \beta, \beta \alpha$
• D. $\alpha^3 \beta, \beta^3 \alpha$

Hint:

Let a, b, c be real numbers with $a ≠ 0$ and let $α, β$ be the roots of the equation $ax+bx+c=0$, then $ax+abcx+c=0$ has roots

Answer 1

The Correct Option is A