Answer:
Choice C is the correct answer.
Explanation:
Given expression is
(3p-7)(2p²-3p-4)
we have to find the product of linear expression to quardatic expression.
Firstly, multiply 3p to quardatic expression and -7 to quardatic expression and add.
3p(2p²-3p-4)-7(2p²-3p-4)
Multiply 3p to each term of quardatic expression and -7 to each term of quardatic expression and add all terms:
3p(2p²)+3p(-3p)+3p(-4)-7(2p²)-7(-3p)-7(-4)
6p³-9p²-12p-14p²+21p+28
add like terms
6p³+(-9-14)p²+p(-12+21)+28
6p³-23p²+9p+28 which is the correct answer.