Question

the polynomial y=(a-2)x^2+(1-3b)x+(5-2c) has at least 3 roots. Find a, b and c.

Answer 1

Its a quadratic equation and quadratic equation can have maximum 2 roots

Answer 2

yea, so that this polynomial has at least 3 roots must be a cubic aquation not quadratic equation

Answer 3

general form cubic equation is f(x)=ax^3+bx^2+cx+d

Answer 4

I'm sure this is a quadratic equation - a zero polynomial I think

Answer 5

a zero polynomial to get roots, but ur question is find a,b, and c ?
somethink wrong i think, recheck your problem

Answer 6

Sorry, this is what the question said. Would a zero polynomial have all the coefficients equal to zero? That's what I wrote down but I don't understand it.

Answer 7

if that is a quadratic equation, still incorect question :)
(becasue quadratic equation for coefficien x^2 cant be equal zero)
if no, take :
a-2 = 0
a = 2
next, 1-3b = 0
1=3b
b=1/3
the last one 5-2c=0
5=2c
c=5/2

Answer 8

hmm ok then, it must be an incorrect question. Thanks anyways! =D

Answer 9

welcome :D