Chapter 8.3, Problem 43PPE

To determine

The product of two polynomials is polynomial or not.

Explanation of Solution

Yes, product of two polynomials gives polynomial. Each terms of the first polynomial is multiplied with the each term of the second polynomial. This will change the degree of polynomial. Hence, the product of two polynomials gives polynomial of higher degree.

For example,

  $\left(-5x\right)\left(4x\right)=-20x^2$

Here, product of two polynomials $\left(-5x\right)$ and $\left(4x\right)$ give polynomial $\left(-20x^2\right)$ .