Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2014-12-16 06:26:19

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!

Offline

#2 2014-12-16 06:48:23

Bob
Administrator
Registered: 2010-06-20
Posts: 10,627

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


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 smile

Offline

#3 2014-12-16 07:07:28

BonaviaFx
Member
Registered: 2014-12-15
Posts: 11

Re: Factor & Remainder Theorem

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

Offline

#4 2014-12-16 07:19:28

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 big_smile

Offline

Board footer

Powered by FluxBB