Answer:
Option third is correct that is [tex]6p^3-23p^2+9p+28[/tex]
Explanation:
We have been given two expression [tex](3p-7)[/tex] and [tex](2p^2-3p-4)[/tex]
multiplication is to be done simplify the expressions by opening the parenthesis we will get
[tex]\left(3p-7\right)\left(2p^2-3p-4\right)[/tex]
[tex]\Rightarrow[/tex][tex]3p\cdot \:2p^2+3p\left(-3p\right)+3p\left(-4\right)+\left(-7\right)\cdot \:2p^2+\left(-7\right)\left(-3p\right)+\left(-7\right)\left(-4\right)[/tex]
After simplification we will get
[tex]\Rightarrow3\cdot \:2p^2p-3\cdot \:3pp-3\cdot \:4p-7\cdot \:2p^2+7\cdot \:3p+7\cdot \:4[/tex]
Further simplification will give the final result
[tex]\Rightarrow6p^3-23p^2+9p+28[/tex]
