SOLUTION: Divide f(x) by d(x), and write a summary statement in the form indicated. Write in Polynomial form. f(x)=x^2-2x+3; d(x)=x-4 I honestly have no idea what I have to do. Can you pl

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Question 934628: Divide f(x) by d(x), and write a summary statement in the form indicated. Write in Polynomial form.
f(x)=x^2-2x+3; d(x)=x-4
I honestly have no idea what I have to do. Can you please explain the steps?
Answer by josgarithmetic(39839) (Show Source):
You can put this solution on YOUR website!
Polynomial Division, which works like regular division but your place values are powers of x instead of powers of ten. Your dividend is x^2+(-2)x+3 and your divisor is x+(-4). The process really really, REALLY does work the same way as regular division but you could find that polynomial division is sometimes easier.

This represents the form the start, but this would be with different geometric details when done on paper. The divisor on the left, the dividend on the right "under" the bar.

___________|__________
___________|_____________________________________
x-4________|_________x^2_________-2x_________3

What is ?
This is x, so report x in this place of the quotient, and multiply x*(x-4); and then perform the subtraction...

___________|__________x
___________|_____________________________________
x-4________|_________x^2_________-2x_________3
_____________________x^2_________-4
____________________________________
_____________________0___________2x

Bring down the next figure, which is the "3",...

___________|__________x
___________|_____________________________________
x-4________|_________x^2_________-2x_________3
_____________________x^2_________-4
____________________________________
_____________________0___________2x__________3

Now ask what is ?
It is 2.

___________|__________x___________2
___________|_____________________________________
x-4________|_________x^2_________-2x_________3
_____________________x^2_________-4
____________________________________
_____________________0___________2x__________3
_________________________________2x_________-8
________________________________________________
_________________________________0___________11

The quotient is x+2 and the remainder is 11.
This means that your