# dividing a polynomial by a polynomial

posted by
**Angel007** on
.

(-6v^2 - 4 + 9v +v^3)/ (v - 4)i am just a little lost can someone explain this to me. thanks.

Arrange the polonomial in descending order...

v^3-6v^2 +9v -4

Then divide.

v-4 !v^3-6v^2 +9v -4

The first term is v^2, so v^2*(v-4) is

v^3-4v^2

subtracting that from the polonomial gives

v-4 ! -2v^2+9v-4

so dividing one gets -2v, then multiplying by v-4 gives

-2v(v-4)=-2v^2+8v, and subtracting that frm -2v^2+9v-4 gives

v-4 ! v-4, and dividing gives 1.

so the answer is v^2 -2v +1

check my thinking.