Which polynomial matches the expression -x(x – 5)?
x² – 5x
x² + 5x
-x² + 5x
-2x – 5
Which polynomial matches the expression -x(x – 5)?
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Which polynomial matches the expression -x(x – 5)?
x² – 5x
x² + 5x
-x² + 5x
-2x – 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!