Problem 90 - Introductory Algebra for College Students

Question

Factor each polynomial. $$x^{3}-5+2 x^{3} y-10 y$$

Step-by-Step Solution

Answer

The factored form of the polynomial \(x^{3}-5+2 x^{3} y-10 y\) is \(3x^{3}y + x^{3} - 10y - 5\).

Step 1: Reorder the Polynomial

According to the degree of x, order the terms of the polynomial in descending order. The polynomial becomes:\(3x^{3}y + x^{3} - 10y - 5\)

Step 2: Factor out Common Factors

First, look for common factors in the terms of the polynomial. Each of the terms does not share a factor, considering that none of them have common factors, the polynomial is already factored:\(3x^{3}y + x^{3} - 10y - 5\)