Answer: The required product is
![-28p^5-21p^4+7p^3.](https://img.qammunity.org/2019/formulas/mathematics/middle-school/6s6y65t9syxmzt66apx0s1fpwvyhlz8nep.png)
Step-by-step explanation: We are given to choose the correct product of the following :
![Q=-7p^3(4p^2+3p-1).](https://img.qammunity.org/2019/formulas/mathematics/middle-school/o4zlnl6oapplj9hve8h1c4ujz5y1hbg99h.png)
To find the required product, we need to multiply the common term to all the terms within the bracket.
We have
![Q\\\\=-7p^3(4p^2+3p-1)\\\\=-28p^5-21p^4+7p^3.](https://img.qammunity.org/2019/formulas/mathematics/middle-school/hvl3fss18mpvo5jj4hsp4z4tz631h0qiux.png)
Thus, the required product is
![-28p^5-21p^4+7p^3.](https://img.qammunity.org/2019/formulas/mathematics/middle-school/6s6y65t9syxmzt66apx0s1fpwvyhlz8nep.png)