Chapter 8.4, Problem 71MR

To determine

To factor: the polynomial $35x^3+7x^2+63x$ .

Answer to Problem 71MR

The factor of polynomial is $7x\left(5x^2+x+9\right)$ .

Explanation of Solution

Given:

The polynomial is $35x^3+7x^2+63x$ .

Calculation:

The factor of polynomial is calculated as follows:

  $\begin{array}{l}\Rightarrow 35x^3+7x^2+63x\\ \Rightarrow 7x\left(5x^2+x+9\right)\end{array}$

No further factorization is possible.

Thus, the factor of polynomial is $7x\left(5x^2+x+9\right)$ .