Question

Divide f(x) by d(x), and write a summary statement in the form indicated.

f(x) = x^4 + 4x^3 + 6x^2 + 4x + 5; d(x) = x^2 + 1

Answer 1

Any idea how to start?

Answer 2

if i divide it gonna be x^2+4x+5

Answer 3

Okay, good. So what are you unsure of? How to write the summary statement?

Answer 4

I would need to see the form they indicate, but it is probably something like:
____________ divided by __________ = __________ with remainder _____

Answer 5

these are the alternatives:
f(x) = (x2 + 1)( x2 + 4x + 5) + 12x - 15

f(x) = (x2 + 1)( x2 + 4x + 5)

f(x) = (x2 + 1)( x2 - 4x + 5)

f(x) = (x2 + 1)( x2 - 4x + 5) + 12x - 15

Answer 6

Oooh, okay.
Well, just think for a moment about how division works. Simple division problem example:
\(15 \div 3 = 5\)
Why? Because:
15 = 3*5

Same thing here. You started with f(x) and divided by \(x^2+1\) and got \(x^2+4x+5\). Turn that into a multiplication equation just like above.

Answer 7

i got it ..thank u :)

Answer 8

My pleasure =)