For this case we must find the product of the following expression:[tex]-3x ^ 3 (-2x ^ 2 + 4x + 7)[/tex]
We apply distributive property to the terms within parentheses:
[tex](-3x ^ 3 * -2x ^ 2) + (- 3x ^ 3 * 4x) + (- 3x ^ 3 * 7) =[/tex]
We take into account that:
[tex]- * - = +\\- * + = -[/tex]
To multiply powers of the same base, put the same base and add the exponents.
[tex]6x ^ {3 + 2} -12x ^ {3 + 1} -21x ^ 3 =\\6x ^ 5-12x ^ 4-21x ^ 3[/tex]
Answer:
Option B
