the area of a rectangle is given by the expression x^3+4x^2-11x-30. If the length of the rectangle is given by the expression x^2-x-6 find the expression that represents the width

Question

aum · Answer

Area = Length * Width
Width = Area / Length

Long Polynomial Division

aum · Answer

Polynomial Long Division

gio333 · Answer

im not good with polynomial long division though.

aum · Answer

Look for it in YouTube.  A couple of examples and you will be an expert in no time.

gio333 · Answer

could you use synthetic division instead of polynomial long division for this problem?

aum · Answer

Synthetic division only if the denominator is first degree polynomial such as (x+3) or (x-2).

aum · Answer

But if you want to do synthetic division you can factor the denominator and then do TWO synthetic divisions.

gio333 · Answer

ok thanks.

aum · Answer

you are welcome.