Asked by Joe
Prove That If the equation x^2+ax+b=0 and cx^2+2ax-3b=0 have a common root then b=5a^2(c-2)/(c+3)^2
Answers
Answered by
Steve
do a synthetic division on each polynomial using x-p.
If p is a common root, then both remainders will be zero.
Eliminate p and you will wind up with a polynomial in a,b,c.
Solve for b.
If p is a common root, then both remainders will be zero.
Eliminate p and you will wind up with a polynomial in a,b,c.
Solve for b.