Math Is Fun Forum

BonaviaFx

Member

Registered: 2014-12-15

Posts: 11

Factor & Remainder Theorem

If the expressions x^2+ax+b and 3x^2 +b have (x-c) as a common factor, where a, b and c are non zero show that 3a^2 + 4b=0.

I have a load of questions, I'm only posting the ones I can't solve. Thanks!

Bob

Administrator

Registered: 2010-06-20

Posts: 10,626

Re: Factor & Remainder Theorem

hi BonaviaFx

Use the factor theorem:

If you eliminate c from these you should end up with the required equation.

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

BonaviaFx

Member

Registered: 2014-12-15

Posts: 11

Re: Factor & Remainder Theorem

I got it, thanks and yes its does = to 0.

BonaviaFx

Member

Registered: 2014-12-15

Posts: 11

Re: Factor & Remainder Theorem

Also bob with your reasoning you helped me solve an even harder question thanks in advance. I'm guessing you helped me find the way