Which polynomial matches the expression -x(x – 5)?
x² – 5x
x² + 5x
-x² + 5x
-2x – 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.
Here’s how it works step-by-step:
1. Distribute -x to x:
-x * x = -x²
2. Distribute -x to -5:
-x * -5 = +5x
Now, putting both terms together, we get:
-x² + 5x.
So, the polynomial that matches the expression -x(x – 5) is -x² + 5x.
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