[JEE Advanced 1980] if x 2 px 1 is a factor of ax 3 bx c then
If $x^2+px+1$ is a factor of $ax^3+bx+c$, then
(a) $a^2+c^2=-ab$
(b) $a^2-c^2=-ab$
(c) $a^2-c^2=ab$
(d) none of these
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 2d ago
▲ 0
Correct answer: (c) $a^2-c^2=ab$
Writing $ax^3+bx+c=(x^2+px+1)(ax+k)$ and matching gives $c=-ap$ and $b=(a^2-c^2)/a$, so $a^2-c^2=ab$.
JEE Advanced 1980 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.
Log in to post your own answer or join the discussion.
No comments yet — start the discussion.