Question

One of the factors of 8x³ - 800x is?

1) 8x
2) x
3) 10
4) -10
5) all of the above

Answer 1

8x, x, and 10 are factors of the polynomial 8x³ - 800x. Each represents a term that can divide the polynomial without a remainder.

Step-by-step explanation:

To find a factor of the polynomial 8x³ - 800x, we can look for common terms that can be factored out. Both terms have an x and a multiple of 8, so we can factor out 8x. The factored form of the polynomial is 8x (x² - 100). Therefore, 8x is a factor. Notice that x is also a factor of 8x, making it another correct response. Additionally, the number 10 is a factor since 800x can be divided by 10, leaving us with 80x². However, -10 is not a factor because it would alter the signs in the polynomial.