Which polynomial matches the expression -x(x – 5)?

To find the polynomial that matches the expression (-x(x – 5)), we need to distribute (-x) to both terms inside the parentheses.

1. Start with the expression: (-x(x – 5)).
2. Distribute (-x):

[-x cdot x + (-x) cdot (-5)]

This gives us:

[-x^2 + 5x].

Now, let’s match it with the choices provided:

– (x^2 – 5x) (not a match)

– (x^2 + 5x) (not a match)

– (-x^2 + 5x) (this matches!)

– (-2x – 5) (not a match)

Thus, the correct answer is (-x^2 + 5x). If you have more questions or need further assistance, feel free to ask!