CPM Homework Help : CCA2 Problem 8-122

Without actually multiplying, decide which of the following polynomials could be the product of $\left(x − 2\right)\left(x + 3\right)\left(x − 5\right)$ . Justify your choice.

$x^{3} − 4x^{2} − 11x − 5$

$2x^{3} − 4x^{2} − 11x + 30$

$x^{3} − 4x^{2} − 11x + 30$

$2x^{3} − 4x^{2} − 11x − 5$

Hint:

If you expanded the original polynomial, what would be the first term? What would be the last term?