### Home > INT3 > Chapter 8 > Lesson 8.3.1 > Problem 8-101

8-101.

Divide each of the following polynomials,

*P*(*x*), by*D*(*x*) to write the quotient*Q*(*x*) and then rewrite the polynomial in the form*P*(*x*) =*D*(*x*) ·*Q*(*x*) +*R*, where*R*is the remainder. Homework Help ✎*P*(*x*) = 2*x*^{4}–*x*^{2}+ 3*x*+ 5

*D*(*x*) =*x*– 1*P*(*x*) =*x*^{5}– 2*x*^{3}+ 1

*D*(*x*) =*x*– 3

*P*(*x*) = (*x* − 1)(2*x*^{3} + 2*x*^{2} + *x* + 4) + 9

*P*(*x*) = *x*^{5} + 0*x*^{4} − 2*x*^{3} + 0*x*^{2} + 0*x* + 1