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C3: Polynomial Division.

Chapter: Algebraic Fractions
Mixed Exercise 1E. Question 5.

https://www.biochemtuition.com/wp-content/uploads/2015/08/C3-Algebra-fractions.pdf

I can get the answer using long division, but how do i do it using the factor theorem.

F(x)=(Ax^2+Bx+C)(X^2-1)+Dx+E

Is that wrong, if so how do i do it?

Reply 1

ValerieKR

Eww colour

you let x^2 = 1 and the answer is C
There you compare coefficients for B

Reply 2

Paranoid_Glitch

Original post by ValerieKR

Eww colour

you let x^2 = 1 and the answer is C
There you compare coefficients for B

I got D = 3 not C is their something i'm doing wrong? Is it not correct to do F(x)=(Ax^2+Bx+C)(X^2-1)+Dx+E?

Reply 3

ValerieKR

Original post by Paranoid_Glitch

I got D = 3 not C is their something i'm doing wrong? Is it not correct to do F(x)=(Ax^2+Bx+C)(X^2-1)+Dx+E?

Do you mean Q6, not Q5?

Reply 4

Paranoid_Glitch

Original post by ValerieKR

Do you mean Q6, not Q5?

Alright now i know i'm messing something up. Still on Question 5, could you do the entire question? :h:

Reply 5

RDKGames

Study Forum Helper

Original post by Paranoid_Glitch

Alright now i know i'm messing something up. Still on Question 5, could you do the entire question? :h:

Just use long division.

Reply 6

Paranoid_Glitch

Original post by RDKGames

Just use long division.

Yeah i know how to. But the person i'm showing wants to know how to do it using the remainder theorem :colonhash:

Reply 7

RDKGames

Study Forum Helper

Original post by Paranoid_Glitch

Yeah i know how to. But the person i'm showing wants to know how to do it using the factor theorem :colonhash:

The factor theorem just tests whether something is a factor of a function equaling 0. The remainder theorem will get you the remainder. Neither method will give you the full expression.