CPM Homework Help : A2C Problem 9-123

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.

$x^{3} − 4x^{2} − 11x − 5$

$2x^{3} − 4x^{2} − 11x + 30$

$x^{3} − 4x^{2} − 11x + 30$

$2x^{3} − 4x^{2} − 11x − 5$

Answer:

Polynomial (c) because $\left(−2\right)\left(3\right)\left(−5\right) = 30$ and $\left(x\right)\left(x\right)\left(x\right) = x^{3}$ not $2x^{3}$ .