Dividing polynomials? please help! ?

Question

how would i divide this equation?

(x^2-18x+80) divided by (x-10)

any help would be greatly appreciated!

Answer 1

(x^2)/x=x so u have:   (x^2)-18x+80   |x-10

_______________ _(-x^2)+10x+80| x

______________________-8x+80

then        -8x+80|x-10

_______8x+80|x-8

_______= ===

finaly you have :   (x^2)-18x+80 / x-10 = x-8

Answer 2

These kinds of problems are easy - the factoring is the only challenging part.

Factor the numerator (and denominator if needed).

Numerator:

x^2 - 18x + 80  = (x - 10) (x - 8)

Denominator:

(x - 10) ← already in lowest terms

Now you have:

(x - 10) (x - 8)

-------------------

(x - 10)

The (x - 10) / (x - 10) cancels, leaving you with:

(x - 8) ← Final answer

Good luck in your studies,

~ Mitch ~