### Home > A2C > Chapter 13 > Lesson 13.2.2 > Problem 13-111

13-111.

Divide each of the following polynomials,

*P*(*x*), by*D*(*x*) to find 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

Use a generic rectangle.

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