C3 Algebra

(x^4 +x^3 +x -10)
-------------------
(x^2 +2x-3)
When setting up the remainder theorem method- why must the remainder be Dx+E?

Reply 1

TeeEm

Original post by MathMeister

(x^4 +x^3 +x -10)
-------------------
(x^2 +2x-3)
When setting up the remainder theorem method- why must the remainder be Dx+E?

NOT TRUE HERE

Dx²+Ex +F

Reply 2

MathMeister

Original post by TeeEm

NOT TRUE HERE

Dx²+Ex +F

My book says this... :/
F(x)=Q(x)*(divisor) + remainder
x^4+x^3+x-10= (Ax^2 +Bx+C)(X^2+2x-3)+Dx+E

Reply 3

TeeEm

Original post by MathMeister

My book says this... :/
F(x)=Q(x)*(divisor) + remainder
x^4+x^3+x-10= (Ax^2 +Bx+C)(X^2+2x-3)+Dx+E

yes i misread but I did not edit

I was referring to the quotient as a quadratic

that is what I meant

the remainder must be 1 degree less than the quotient, i.e. linear

Accept my apologies :colondollar:

Reply 4

MathMeister

Original post by TeeEm

yes i misread but I did not edit

the remainder must be 1 degree less than the quotient, i.e. linear
Accept my apologies :colondollar:

No problem :smile:

Why must it be 1 degree less if you don't mind?

Reply 5

TeeEm

Original post by MathMeister

No problem :smile:

Why must it be 1 degree less if you don't mind?

otherwise it will "go" once more if you carry out a long division.

it is equivalent to the fact that if you divide by 7 for example your remainder has to be 6 or less

Reply 6

MathMeister

Original post by TeeEm

otherwise it will "go" once more if you carry out a long division.

it is equivalent to the fact that if you divide by 7 for example your remainder has to be 6 or less